%KaasaWestgaard1994
% larry
\rhl{K}
\refP Kaasa, J., Westgaard, G.;
The `face lift' algorithm;
\ChamonixIIb; 303--310;

%KaasaWestgaard1997
% larry 10sep99
\rhl{KW}
\rhl{K}
\refP Kaasa, J., Westgaard, G.;
Analysis of curvature related surface shape properties;
\ChamonixIIIa; 211--215;

%KacsoWenz1997
% larry 10sep99
\rhl{KW}
\rhl{K}
\refP Kacs\'o, D.,  Wenz, H.-J.;
On an almost--convex--hull property;
\ChamonixIIIa; 217--222;

%KafritasBras1981
% . 12mar97
\rhl{K}
\refR Kafritas, John, Bras, Rafael L.;
The practice of kriging;
Ralph M. Parsons Laboratory, Dept.\ Civil Engin., M.I.T.; 1981;
% QA281 K253y 1981 or S R1435 M107 no.263

%Kageyama2003
% . 03apr06
\rhl{}
\refJ Kageyama, Y.;
A note on zeros of the Lagrange interpolation polynomial of the function
   $1/(z-c)$;
Trans.\ Japan SIAM; 13; 2003; 391--402;

%Kahan1997
% carl 26sep02
\rhl{K}
\refR Kahan, W.;
Divided differences of algebraic functions;
notes, september 1; 1997;
% multivariate divided differences

%KahanFarkas1963a
\rhl{} 20nov03
\refJ Kahan, W., Farkas, I.;
Algorithm 167: Calculation of confluent divided differences;
\CACM; 6(4); 1963; 164;

%KahanFarkas1963b
\rhl{} 20nov03
\refJ Kahan, W., Farkas, I.;
Algorithm 168: Newton interpolaton with backward divided differences;
\CACM; 6(4); 1963; 165;

%KahanFarkas1963c
\rhl{} 20nov03
\refJ Kahan, W., Farkas, I.;
Algorithm 169: Newton interpolaton with forward divided differences;
\CACM; 6(4); 1963; 165;

%KahanFateman1985
% . 16aug02
\rhl{KF85}
\refR Kahan, W., Fateman, R.;
Symbolic Computation of Divided Differences;
unpublished report, available at
{\tt http://www.cs.berkeley.edu/}$\sim${\tt fateman/papers/divdiff.pdf};
1985;

%Kahane1961
\rhl{K}
\refR Kahane,  J. P.;
Teoreia constructivea de functiones;
Buenos Aires; 1961;

%Kahmann1982
\rhl{K}
\refD Kahmann,  J.;
Kr\"ummungs\"uberg\"ange zusammengesetzter Kurven und Fl\"achen;
TU Braunschweig;
1982;

%Kahmann1983a
\rhl{K}
\refP Kahmann,  J.;
Continuity of curvature between adjacent Bezier patches;
\CagdI; 65--75;

%Kaifaz1972
\rhl{K}
\refJ Kaifaz,  D.;
Numerical integration by deficient splines;
\PIEEE; 60; 1972; 1015--1016;

%KailathGeeseyWeinert1972
% larry
\rhl{K}
\refJ Kailath,  T., Geesey, R., Weinert, H. L.;
Some relations among RKHS norms, Fredholm equations, and innovations
representations;
IEEE Trans.\ Inf.\ Th.; 18; 1972; 341--348;

%KailathWeinert1975
% larry
\rhl{K}
\refJ Kailath,  T., Weinert, H. L.;
An RKHS approach to detection and estimation problems -- Part II: Gaussian
signal detection;
IEEE Trans.\ Inf.\ Th.; 21; 1975; 15--23;

%KailathWeinert1999
\rhl{K}
\refJ Kailath,  T., Weinert, H. L.;
Recursive spline interpolation and least squares estimation;
Annal.\ Math.\  Stat.; X; 19XX; XX;

%Kaiser1987
% larry
\rhl{K}
\refD Kaiser, Ulrich;
Das Schoenberg'sche Approximationsproblem;
Univ.\ Mannheim; 1987;
% approximating density functions by integrals of B-splines.

%Kaiser1994a
% hogan 14sep95
\rhl{K}
\refB Kaiser, G.;
A Friendly Guide to Wavelets;
Birkh\"auser (Boston); 1994;

%Kaishev1989
% carl
\rhl{K}
\refJ Kaishev,  V. K.;
Optimal experimental designs for the B-spline regression;
Comp.\ Stat.\ Data Anal.; 8; 1989; 39--47;

%Kaishev1991
% carl
\rhl{K}
\refJ Kaishev,  V. K.;
A Gaussian cubature formula for the computation of generalized B-splines and
its application to serial correlation;
Contemp.\ Math.; 115; 1991; 219--237;

%Kajiya1982
\rhl{K}
\refJ Kajiya,  J. T.;
Ray tracing parametric patches;
Computer Graphics;
16;
1982;
245--254;

%Kajiya1983
\rhl{K}
\refJ Kajiya,  James T.;
New techniques for ray tracing procedurally defined objects;
Transactions on Graphics;
2;
1983;
161--181;

%KaklisKaravelas1995a
% author 26oct95
\rhl{K}
\refJ Kaklis, P. D., Karavelas, M. I.;
Shape-preserving interpolation in $\RR^3$;
\IMAJNA; xx; 1995; xxx--xxx;

%KaklisPandelis1990
% . carl 26oct95
\rhl{K}
\refJ Kaklis, P. D., Pandelis, D. G.;
Convexity-preserving polynomial splines of non-uniform degree;
\IMAJNA; 10; 1990; 223--234;
% shape preserving, MD-splines

%KaklisSapidis1994a
% carl 26oct95
\rhl{K}
\refJ Kaklis, P. D., Sapidis, N. S.;
Curvature-sign-type boundary conditions in parametric cubic-spline
   interpolation;
\CAGD; 11; 1994; 425--450;
% interpolating planar curve with prescribed curvature sign (but not magnitude)

%KaklisSapidis1995a
% author 26oct95
\rhl{K}
\refJ Kaklis, P. D., Sapidis, N. S.;
Preserving interpolatory parametric splines of non-uniform polynomial degree;
\CAGD; 12; 1995; 1--26;

%Kaliaguine1993
% . 19nov95
\rhl{K}
\refJ Kaliaguine, V. A.;
On assymptotics of $L_p$ extremal polynomials on a complex curve
   ($0< p< \infty$);
\JAT; 74; 1993; 226--236;

%Kalik1970
% larry
\rhl{K}
\refJ Kalik,  C.;
Une propriet\'e de minimum des fonctions spline;
Studia	Univ.\  Babes-Bolyai Ser.\ Math.\ Mech.; 15; 1970;  35--46;

%Kalik1971
% larry
\rhl{K}
\refJ Kalik,  C.;
Approximate solution of differential equations using a class of spline
functions (Rumanian);
Studia	Univ.\  Babes-Bolyai Ser.\ Math.\ Mech.; 16; 1971;  21--26;

%Kalik1971b
% larry
\rhl{K}
\refJ Kalik,  C.;
Les fonctionelles generatrices des fonctions spline;
Studia Univ.\  B.--B.  Cluj; 16; 1971;  61--64;

%Kallay1993
% .
\rhl{K}
\refQ Kallay, M.;
Constrained optimization in surface design;
(Modeling in Computer Graphics), B. Falcidieno, T. L. Kunii (eds.),
Springer-Verlag (New York); 1993; 85--94;

%KallayRavani1990
% scott
\rhl{K}
\refJ Kallay,  M., Ravani, B.;
Optimal twist vectors as a tool for interpolating
a network of curves with a minimum energy surface;
\CAGD; 7; 1990; 465--473;

%KalninsMillerTratnik1991
% . 21jan02
\rhl{}
\refJ Kalnins, E. G., Miller, W., Tratnik, M. V.;
Families of orthogonal and biorthogonal polynomials on the $N$-sphere;
\SJMA; 22; 1991; 272--294;

%KamadaToraichiMori1988
% carl
\rhl{K}
\refJ Kamada, Masaru, Toraichi, Kazuo, Mori, Ryoichi;
Periodic spline orthonormal bases;
\JAT; 55; 1988; 27--34;

%KaminskiiMakarov1980
\rhl{K}
\refJ Kaminskii,  V. A., Makarov, V. I.;
On the least spline with free knots for
	 a convex function (Russian);
Appl.\  Funct.\  Anal.\  Approx.\  Th.,  Kalinin Gos.\  Univ.;
158; 1980;  45--52;

%KammererReddien1972
% larry
\rhl{K}
\refJ Kammerer,  W. J., Reddien, G. W.;
Local convergence of smooth cubic spline interpolates;
\SJNA; 9; 1972;  687--694;

%KammererReddienVarga1974
% larry
\rhl{K}
\refJ Kammerer,  W. J., Reddien, G. W., Varga, R. S.;
Quadratic interpolatory splines;
\NM; 22; 1974; 241--259;

%Kamont1999
% carl 14may99
\rhl{K}
\refJ Kamont, Anna;
Weighted moduli of smoothness and spline spaces;
\JAT; 98(1); 1999; 25--55;

%KamontWolnik1999
% carl 26aug98
\rhl{K}
\refJ Kamont, A., Wolnik, B.;
Wavelet expansions and fractal dimensions;
\CA; 15(1); 1999; 97--108;

%Kanamori2003
% carl 04mar10
\rhl{K}
\refJ Kanamori, Akihiro;
The empty set, the singleton, and the ordered pair;
Bull.\ Symb.\ Logic; 9(3); 2003; 273--298;
% contains a good discussion of the history of the definition of "function"

%KanoEgerstedtNakataMartin2003
% . 03apr06
\rhl{}
\refJ Kano, H., Egerstedt, M., Nakata, H., Martin, C. F.;
B-splines and control theory;
Appl.\ Math.\ Comput.; 145(2-3); 2003; 263--288;

%Kansa1990a
% larry
\rhl{K}
\refJ Kansa,  E. J.;
Multiquadrics---a scattered data approximation scheme with applications to 
computational fluid-dynamics---I: surface approximations and partial 
derivative estimates;
\CMA; 19; 1990; 127--145;

%Kansa1990b
% larry
\rhl{K}
\refJ Kansa,  E. J.;
Multiquadrics---a scattered data approximation scheme with applications to 
computational fluid-dynamics---II: Solutions to parabolic, hyperbolic, and 
elliptic partial differential equations;
\CMA; 19; 1990; 147--161;

%KansaCarlson1999
\rhl{K}
\refR Kansa,  E. J., Carlson, R. E.;
Inproved accuracy of multiquadric interpolation 
using variable shape parameters; 
\CMA; to appear;

%KaplanPapetti1971
\rhl{K}
\refJ Kaplan,  M. A., Papetti, R. A.;
A note on quadrilateral interpolation;
\JACM; 18; 1971; 576--585;

%KappelSalamon1984
% . 20jun97
\rhl{K}
\refR Kappel, F., Salamon, D.;
Spline approximation for retarded systems and the Riccati equation;
mrc tsr 2680; 1984;
% submitted to SIAM J. Control and Optim.
\BIT ; 30; 1990; 33--346;

%Kaps1990
% Andreas Mueller 22may98
\rhl{K}
\refD Kaps, M.;
Teilfl\"achen einer Dupinschen Zyklide in B\'ezierdarstellung;
TU Braunschweig; 1990;

%KarciauskasKrasauskas2000
% larry 20apr00
\rhl{}
\refP Kar{\v c}iauskas, K{\c e}stutis, Krasauskas, Rimvydas;
Comparison of different multisided patches using
   algebraic geometry;
\Stmalod; 163--172;

%Karlin1968
% larry
\rhl{K}
\refB Karlin,  S.;
Total Positivity;
Stanford Univ.\ Press (Stanford); 1968;

%Karlin1971a
% sherm
\rhl{K}
\refJ Karlin,  S.;
Best quadrature formulas and splines;
\JAT; 4; 1971; 59--90;

%Karlin1971b
% sonya
\rhl{K}
\refJ Karlin,  S.;
Total positivity, interpolation by splines, and Green's functions of
differential operators;
\JAT; 4; 1971; 91--112;

%Karlin1972
% larry
\rhl{K}
\refJ Karlin,  S.;
On a class of best nonlinear approximation problems;
\BAMS; 78; 1972; 43--49;

%Karlin1973
% sherm, update vol, year, pages
\rhl{K}
\refJ Karlin,  S.;
Some variational problems on certain Sobolev spaces and perfect splines;
\BAMS; 79; 1973; 124--128;

%Karlin1975b
% larry
\rhl{K}
\refJ Karlin,  S.;
Interpolation properties of generalized perfect splines and the solutions
of certain extremal problems.\ I.;
\TAMS; 206; 1975; 25--66;

%Karlin1976a
% larry
\rhl{K}
\refP Karlin,  S.;
On a class of best nonlinear approximation problems and extended
monosplines;
\Karlin; 19--66;

%Karlin1976b
\rhl{K}
\refP Karlin,  S.;
A global improvement theorem for polynomial monosplines;
\Karlin; 67--82;

%Karlin1976c
\rhl{K}
\refP Karlin,  S.;
Some one-sided numerical differentiation formulae and applications;
\Karlin; 485--500;

%Karlin1976d
\rhl{K}
\refP Karlin,  S.;
Oscillatory perfect splines and related extremal problems;
\Karlin; 371--460;

%Karlin1976e
\rhl{K}
\refP Karlin,  S.;
Generalized Markov Bernstein type inequalities for spline functions;
\Karlin; 461--484;

%KarlinKaron1968
% sonya
\rhl{K}
\refJ Karlin,  S., Karon, J. M.;
A variation diminishing generalized spline approximation method;
\JAT; 1; 1968; 255--268;

%KarlinKaron1970a
% . 19may96
\rhl{K}
\refJ Karlin, S., Karon, J. M.;
A remark on B-splines;
\JAT; 3; 1970; 455;

%KarlinKaron1972
% sonya
\rhl{K}
\refJ Karlin,  S., Karon, J. M.;
On Hermite-Birkhoff interpolation;
\JAT; 6; 1972; 90--115;

%KarlinKaron1972b
\rhl{K}
\refJ Karlin,  S., Karon, J. M.;
Poised and non-poised Hermite-Birkhoff interpolation;
\IUMJ; 21; 1972;  1131--1170;

%KarlinLee1970
% larry
\rhl{K}
\refJ Karlin,  S., Lee, J. W.;
Periodic boundary-value problems with cyclic totally positive Green's
functions with applications to periodic spline theory;
J. Diff.\ Eq.; 8; 1970; 374--396;

%KarlinMicchelli1972
\rhl{K}
\refJ Karlin,  S., Micchelli, C. A.;
The fundamental theorem of algebra for monosplines satisfying boundary
conditions;
Israel J. Math.; 11; 1972; 405--451;

%KarlinMicchelliRinott1985
\rhl{K}
\refQ Karlin,  Samuel, Micchelli, Charles, Rinott, Yosef;
Some probabilistic aspects in multivariate splines;
(Multivariate analysis VI (Pittsburgh, Pa., 1983)),
Paruchuri R. Krishnaiah (ed.),
North-Holland (Amsterdam-); 1985; 355--360;

%KarlinMicchelliRinott1986
% carl
\rhl{K}
\refJ Karlin,  S., Micchelli, C. A., Rinott, Y.;
Multivariate splines: a probabilistic perspective;
J.\ Multivariate Anal.; 20; 1986; 69--90;

%KarlinPinkus1974
% sherm, update vol,year pages
\rhl{K}
\refJ Karlin,  S., Pinkus, A.;
Oscillation properties of generalized characteristic polynomials for
totally positive and positive definite matrices;
\LAA; 8; 1974; 281--312;

%KarlinPinkus1976a
\rhl{K}
\refP Karlin,  S., Pinkus, A.;
Gaussian quadrature formulae with multiple nodes;
\Karlin; 113--141;

%KarlinPinkus1976b
\rhl{K}
\refP Karlin,  S., Pinkus, A.;
An extremal property of multiple Gaussian nodes;
\Karlin; 143--162;

%KarlinPinkus1976c
\rhl{K}
\refP Karlin,  S., Pinkus, A.;
Interpolation by splines with mixed boundary conditions;
\Karlin; 305--325;

%KarlinPinkus1976d
\rhl{K}
\refP Karlin,  S., Pinkus, A.;
Divided differences and other non-linear existence problems at extremal
points;
\Karlin; 327--352;

%KarlinRinott1988
% carl
\rhl{K}
\refJ Karlin,  Samuel, Rinott, Yosef;
A generalized Cauchy-Binet formula and applications to total positivity and
majorization;
J. Multivar.\ Anal.; 27; 1988; 284--299;

%KarlinSchumaker1967a
% larry
\rhl{K}
\refJ Karlin,  S., Schumaker, L. L.;
Characterization of moment points in terms of Christoffel numbers;
J. d'Analyse;  20; 1967; 213--231;

%KarlinSchumaker1967b
% larry
\rhl{K}
\refJ Karlin,  S., Schumaker, L. L.;
The fundamental theorem of Algebra for Tchebycheffian monosplines;
\JAM; 20; 1967; 233--270;

%KarlinStudden1966
\rhl{K}
\refB Karlin,  S., Studden, W. J.;
Tschebycheff Systems: With Applications in Analysis and Statistics;
Interscience (New York); 1966;

%KarlinZiegler1966
% larry
\rhl{K}
\refJ Karlin,  S., Ziegler, Z.;
Chebyshevian spline functions;
\SJNA; 3; 1966; 514--543;

%KarlinZiegler1970
% shayne 12mar97
\rhl{K}
\refJ Karlin, S., Ziegler, Z.;
Iteration of positive approximation operators;
\JAT; 3; 1970; 310--339;

%Karon1969
\rhl{K}
\refJ Karon,  J. M.;
The sign regularity properties of a class of Green's functions for ordinary
differential equations;
J. Diff.\ Eq.; 6; 1969; 484--502;

%Karon1978
% sherm, journal reference
\rhl{K}
\refJ Karon,  J. M.;
Computing improved Chebyshev approximations by the continuation method: I.
Description of an algorithm;
\SJNA; 15; 1978; 1269--1288;

%Karweit1980
\rhl{K}
\refQ Karweit,  M.;
Optimal objective mapping:  a technique for
fitting surfaces to scattered data;
(Advanced Concepts in Ocean Measurements for Marine Biology),
F. P. Diemer, F. J.
Vernberg, and D. Z. Mirkes (eds.), 
Univ.\ of S.C. Press (Columbia SC); 1980; 81--89;

%Kashyap1998
% larry Lai-Schumaker book
\rhl{Kas98}
\refJ Kashyap, P.;
Geometric interpretation of continuity over triangular domains;
\CAGD; 15; 1998; 773--786;

%Kato2000
% larry 20apr00
\rhl{}
\refP Kato, Kiyotaka;
N-sided surface generation from arbitrary boundary edges;
\Stmalod; 173--182;

%Katz1977
\rhl{K}
\refJ Katz,  I. N.;
Integration of triangular finite elements containing
corrective rational functions;
Internat.\ J. Numer.\ Meth.\ Engr.; 11; 1977; 107--114;

%KaufmanTaylor1975
% larry
\rhl{K}
\refJ Kaufman,  E. H., Taylor, G. D.;
Uniform rational approximation of functions of several variables;
Int.\ J. Numer.\ Meth.\ Eng.; 9; 1975; 292--323;

%KaufmanTaylor1994
% carl
\rhl{K}
\refJ Kaufman,  E. H., Taylor, G. D.;
Approximation and interpolation by convexity-preserving rational splines;
\CA; 10(2); 1994; 275--283;

%Kautsky1970
% larry
\rhl{K}
\refJ Kautsky,  J.;
Optimal quadrature formulae and minimal monosplines in $L_q$;
J. Austral.\ Math.\ Soc.; 11; 1970; 48--56;

%Kawamura1988
\rhl{K}
\refR Kawamura,  J. G.;
Fast multidimensional interpolation;
xx; 1988;

%Kawamura1988b
\rhl{K}
\refR Kawamura,  J. G.;
Precision multidimensional interpolation;
xx; 1988;

%Kawasaki1994
% . 21jan02
\rhl{}
\refJ Kawasaki, H.;
A second-order property of spline functions with one free knot;
\JAT; 78; 1994; 293--297;

%Kays1981
\rhl{K}
\refJ Kays,  R. G.;
Cubic convolution interpolation for digital image processing;
\ITPASSP; 29; 1981; 1153--1160;

%Kayumov2007
% foucart 05mar08
\rhl{K}
\refJ Kayumov, A.;
An exact-order estimate of the norms of orthogonal projection operators onto
   spaces of continuous splines;
Doklady Mathematics; 416; 2007; 1--3;

%KazakovDimitriadia1977
% sherm, publisher update
\rhl{K}
\refQ Kazakov,  D., Dimitriadia, B.;
Efficient cubic spline fit;
(IEEE Int.\ Conf.\  Accoustics, Speech and Signal Proc.), 
xxx (ed.), IEEE (New York); 1977;  109--111;

%KaznoNinomiys1978
\rhl{K}
\refJ Kazno,  H., Ninomiys, J.;
An algorithm and error analysis of bivariate interpolating splines;
Dzexo.\ Cepn.; 19; 1978; 196--203;

%Keenan1994
% .
Keenan, P. T.;
 Mixed methods on quadrilaterals and hexahedra;
\NA; 7; 1994; 269--293;

%KeliskyRivlin1967
% shayne 12mar97
\rhl{K}
\refJ Kelisky, R. P., Rivlin, T. J.;
Iterates of Bernstein polynomials;
\PJM; 21(3); 1967; 511--520;
% partial description of the eigenstructure of the Bernstein operator

%Kelley1981
% . 20jun97
\rhl{K}
\refJ Kelley, C. T.;
A note on the approximation of functions of several variables by sums of
   functions of one variable;
\JAT; 33; 1981; 179--189;
% Hilbert's 13th problem, Kolmogorov

%Kellogg1928a
% shayne 14sep95
\rhl{K}
\refJ Kellogg, O. D.;
On bounded polynomials in several variables;
\MZ; 27; 1928; 55--64;
% first paper to prove that the norm of a symmetric multilinear functional on a
% Hilbert space is taken on when all its arguments are equal.
% This result was later reproved independently by %vanderCorputSchaakee35, 
% %Banach38, %ChenDitzian90, ... also see %BochnakSiciak71

%KennedyTobler1983
% larry
\rhl{K}
\refJ Kennedy,  S., Tobler, W. R.;
Geographic Interpolation;
Geograph.\ Anal.; 15; 1983; 151--156;

%Keppel1975
% larry
\rhl{K}
\refJ Keppel,  E.;
Approximating complex surfaces by triangulation of contour lines;
IBM J. Res.\ Develop.; 19; 1975; 2--11;

%Kergin1978
% carl
\rhl{K}
\refD Kergin,  P.;
Interpolation of $C^k$ Functions;
University of Toronto, Canada; 1978;

%Kergin1980
% sonya
\rhl{K}
\refJ Kergin,  P.;
A natural interpolation of $C^k$ functions;
\JAT; 29(4); 1980; 278--293;

%Kergosien1994
% larry
\rhl{K}
\refP Kergosien, Y. L.;
Some generic properties of the set of cross-sections and the
set of orthogonal projections of a smooth surface;
\ChamonixIIb; 311--318;

%Kergosien1997
% larry 10sep99
\rhl{K}
\rhl{K}
\refP Kergosien, Y. L.;
Developable surfaces with creases;
\ChamonixIIIa; 223--230;

%KerigWatsonAT1987
% . 03dec99
\rhl{K}
\refJ Kerig,  P. D., Watson, A. T.;
A new algorithm for estimating relative permeabilities from
   displacement experiments;
SPE Reservoir Eng.; xx; 1987; 103--112;

%Kersey0x
% author 26sep02
\rhl{K}
\refJ Kersey, S.;
On the problems of smoothing and near-interpolation;
\MC; xx; 200x; xxx--xxx;

%Kersey0y
% author 26sep02
\rhl{K}
\refJ Kersey, S.;
Near-interpolation;
\NM; xx; 200x; xxx--xxx;

%Kersey2000
% author 26sep02
\rhl{K}
\refJ Kersey, S.;
Best near-interpolation by curves: existence;
\SJNA; 38(5); 2000; 1666--1675;

%Kersey2004
% carlref 03apr06
\rhl{}
\refP Kersey, Scott N.;
Smoothing and near-interpolatory subdivision surfaces;
\Seattle; 353--364;

%Kershaw1969
% larry, carl
\rhl{K}
\refJ Kershaw, D.;
The explicit inverses of two commonly occurring matrices;
\MC; 23(105); 1969; 189--191;

%Kershaw1970
% carl
\rhl{K}
\refJ Kershaw, D.;
Inequalities on the elements of the inverse of a certain
 tridiagonal matrix;
\MC; 24(109); 1970; 155--158;

%Kershaw1971b
% carl 19nov95
\rhl{K}
\refJ Kershaw,  D.;
A note on the convergence of natural cubic splines;
\SJNA; 8; 1971; 67--74;
% Kershaw lists the title as ... of interpolatory cubic splines.

%Kershaw1972a
\rhl{K}
\refJ Kershaw,  D.;
The explicit factorization of two commonly occurring matrices;
SIGNUM Newsletter; 7; 1972;  13;

%Kershaw1972b
% carl
\rhl{K}
\refJ Kershaw, D.;
The orders of approximation of the first
	 derivative of cubic splines at the knots;
\MC; 26(117); 1972; 191--198;
% interpolation.

%Kershaw1973
% carl 26oct95
\rhl{K}
\refJ Kershaw,  D.;
The two interpolatory cubic splines;
\JIMA; 11; 1973; 329--333;
% introduces two end-conditions (i) $f'''(a+)=0$ , (ii) non-a-knot condition
% and proves error bounds when the knot sequence is uniform (the general case
% being termed `of little practical importance'). Both conditions are stated 
% initially as an additional equation involving just the first two slopes and
% being always satisfied by any (i) quadratic (ii) cubic, polynomial,
% are then discovered to be as described above. 

%Kershaw1999
% sonya
\rhl{K}
\refJ Kershaw,  D.;
Uniform approximation by natural cubic splines;
\JAT; X; 19XX; XX;

%KhachanChenin2000
% larry 20apr00
\rhl{}
\refP Khachan, Mohammed, Chenin, Patrick;
Advantages of topological tools in localization methods;
\Stmalod; 183--192;

%Khatamov1982
\rhl{K}
\refJ Khatamov,  A.;
Approximation spline des fonctions \`a derivee convex;
\MaZ; 31; 1982; 877--887;

%Kilberth1973
\rhl{K}
\refJ Kilberth,  K.;
Eine Randbedingung fur kubische Spline-funktionen;
\C; 11; 1973;  59--67;

%Kilberth1974
\rhl{K}
\refJ Kilberth,  K.;
\"Uber Typen von kubischen Spline-funktionen;
\ZAMM; 54; 1974;  224--225;

%Kilgore1978
% . 6aug96
\rhl{K}
\refJ Kilgore, T. A.;
A characterization of the Lagrange interpolating projection with minimal
   Tchebycheff norm;
\JAT; 24; 1978; 273--288;

%Kilgore1984
% . 6aug96
\rhl{K}
\refJ Kilgore, T. A.;
Optimal interpolation with incomplete polynomials;
\JAT; 41; 1984; 279--290;

%Kilgore1987
% . 6aug96
\rhl{K}
\refJ Kilgore, T. A.;
Optimal interpolation with polynomials having fixed roots;
\JAT; 49; 1987; 378--389;

%Kilgore1991
% . 6aug96
\rhl{K}
\refJ Kilgore, T. A.;
Optimal interpolation with exponentially weighted polynomials on an unbounded
   interval;
Acta Math.\ Hung.; 57(1-2); 1991; 85--90;

%KilgorePrestin1996
% carl 6aug96
\rhl{K}
\refJ Kilgore, T., Prestin, J.;
Polynomial wavelets on the interval;
\CA; 12(1); 1996; 95--110;

%KilgoreZalik1988
\rhl{K}
\refR Kilgore,  T., Zalik, R. A.;
Extensions of endpoint equivalent and periodic Tchebycheff systems;
Auburn; 1988;

%KilgoreZalik1988b
\rhl{K}
\refR Kilgore, T., Zalik, R. A.;
Splicing of Markov and weak Markov systems;
Auburn Univ.; 1988;

%Kim1992
% sherm, pagination
\rhl{K}
\refJ Kim,  Dongsu;
A combinatorial approach to biorthogonal polynomials;
\SJDM; 5(3); 1992; 413--421;

%KimHJAhnYJ2000a
% shayne
\rhl{}
\refJ Kim, H. J., Ahn, Y. J.;
 Good degree reduction of B\'ezier curves using Jacobi polynomials;
\CMA; 40; 2000; 1205--1215;

%KimSDParter1995
% . 23jun03
\rhl{}
\refJ Kim, S. D., Parter, S. V.;
Preconditioning cubic spline collocation discretizations of elliptic
   equations;
\NM; 72; 1995; 39--72;

%KimchiDyn1978a
% carl
\rhl{K}
\refJ Kimchi,  E., Richter-Dyn, N.;
Restricted range approximation of $k$-convex functions in monotone norms;
\SJNA; 15; 1978; 1030--1038;
% includes generalization to any monotone norm of Bernstein's theorem on 
% monotonicity of distance from polynomials.

%KimchiRichterDyn1979
% shayne 6aug96
\rhl{K}
\refJ Kimchi, E., Richter-Dyn, N.;
A necessary condition for best approximation in monotone and sign--monotone
   norms;
\JAT; 25; 1979; 169--175;

%KimeldorfWahba1970
% larry
\rhl{KW}
\refJ Kimeldorf,  G., Wahba, G.;
Spline functions and stochastic processes;
Sankhya; 32; 1970;  173--180;

%KimeldorfWahba1970b
% larry
\rhl{KW}
\refJ Kimeldorf,  G., Wahba, G.;
A correspondence between Bayesian estimation
	 on stochastic processes and smoothing by splines;
Ann.\  Math.\  Stat.; 41; 1970;  495--502;

%KimeldorfWahba1971
% carl
\rhl{KW}
\refJ Kimeldorf, George, Wahba, Grace;
Some results on Tchebycheffian splines functions;
\JMAA; 33(1); 1971; 82--95;
http://www.stat.wisc.edu/~wahba/ftp1/oldie/kw71.pdf
Uses the known structure of the differential operators giving rise to 
Chebyshev splines to construct the corresponding reproducing kernel.

%KimmelAmirBruckstein1994
% larry
\rhl{K}
\refP Kimmel, R., Amir, A., Bruckstein, A. M.;
Finding shortest paths on surfaces;
\ChamonixIIa; 259--268;

%KimmelSethian2000
% larry 20apr00
\rhl{}
\refP Kimmel, Ron, Sethian, James A.;
Fast Voronoi diagrams and offsets on triangulated surfaces;
\Stmalod; 193--202;

%KimmelSochenMalladi2000
% larry 20apr00
\rhl{}
\refP Kimmel, Ron, Sochen, Nir A., Malladi, Ravi;
On the geometry of texture;
\Stmalod; 203--212;

%Kimn1981
% larry
\rhl{K}
\refJ Kimn,  H. J.;
Numerical construction of cubic-quartic second order spline fits;
J. Korean Math.\ Soc.; 17; 1981; 249--258;

%Kimn1981b
% larry
\rhl{K}
\refJ Kimn,  H. J.;
Existence et unicit\'e de la fonction spline de lissage;
Bull.\ Korean Math.\ Soc.; 17; 1981; 115--121;

%Kimn1982
\rhl{K}
\refJ Kimn,  H. J.;
Une characterisation de la fonction spline
	 de lissage;
Bull.\  Korean Math.\  Soc.; 19; 1982;  27--33;

%KimnKim1984
% larry
\rhl{K}
\refJ Kimn,  H. J., Kim, H.;
On the error analysis of some piecewise
	 cubic interpolating polynomials;
Kyunsong Math.\ J.; 24; 1984;  55--61;

%Kindalev1981
\rhl{K}
\refJ Kindalev,  B. S.;
Asymptotic formulas for a fifth-degree spline and
	 their applications (Russian);
Vycisl.\  Sistemy; 87; 1981;  18--24;

%Kioustelidis1980
\rhl{K}
\refJ Kioustelidis,  J. B.;
Optimal segmented approximations;
\C; 24; 1980; 1--8;

%Kioustelidis1999
\rhl{K}
\refR Kioustelidis,  J. B.;
Optimal segmented polynomial $L_s$ approximations;
xx; 19xx;

%Kirov1980
\rhl{K}
\refJ Kirov,  G.;
Some extremal problems for K-splines (Russian);
Serdica; 6; 1980;  16--20;

%Kirov1992a
% carl
\rhl{K}
\refB Kirov,  G. H.;
Approximation with Quasi-Splines;
Institute of Physics Publ. (Bristol, Philadelphia and New York); 1992;
% optimal recovery, quadrature, cubature
% quasi-spline of order r := \sum_j \phi_j T_{r,x_j}f ,with  \phi_j a
% nonnegative partition of unity on  [0..1] and T_{r,x}f the Taylor polynomial
% of degree r for  f  at  x . The (x_i) are strictly increasing, in [0..1].
% optimal recovery is central theme, literature is exclusively Eastern European.
% atomar functions, up-function (Rvachev stuff)

%Kjellander1983
% larry, carl
\rhl{K}
\refJ Kjellander, Johan A. P.;
Smoothing of cubic parametric splines;
\CAD; 15(3); 1983; 175--179;
% oscillations, interactive smoothing.

%Kjellander1983b
% larry, carl
\rhl{K}
\refJ Kjellander, Johan A. P.;
Smoothing of bicubic parametric surfaces;
\CAD; 15(5); 1983; 288--293;
% cubic parametric splines, interactive smoothing, analysis.

%KlappeneckerRotteler2005
% shayne 03apr06
\rhl{}
\refR Klappenecker, A., R\"otteler, M.;
Mutually Unbiased Bases are Complex Projective $2$--designs;
preprint; 2005;

%Klass1980
% carl
\rhl{K}
\refJ Klass, Reinhold;
Correction of local surface irregularities using reflection lines;
\CAD; 12(2); 1980; 73--77;

%Klass1983
% carl
\rhl{K}
\refJ Klass, Reinhold;
An offset spline approximation for plane cubic splines;
\CAD; 15(5); 1983; 297--299;
% cubic spline segments, offset lines and surfaces.

%KlausNes1967
\rhl{K}
\refJ Klaus,  R. L., Nes, H. C. van;
An extension of the spline fit technique and
	 applications to thermodynamic data;
A. I. Ch.\ E. J.; 13; 1967;  1132--1133;

%Kleifeld1994
% carlrefs 20nov03
\rhl{}
\refR Kleifeld, Achim;
H\"oher\-dimensionale Polar\-formen, Splines und 
   Fl\"a\-chen\-kon\-struk\-ti\-onen;
Diplomarbeit, Math \& Informatik, Karlsruhe; 1994;
% higher-dimensional polar forms, multivariate polynomials

%Klein1994
% larry
\rhl{K}
\refP Klein, R.;
Polygonalization of algebraic surfaces;
\ChamonixIIa; 269--275;

%Klimenko1978
\rhl{K}
\refJ Klimenko,  N. S.;
Smoothing by convex cubic splines (Russian);
Akad.\  Nauk.\  Ukrain SSR.; 26; 1978;  3--10;

%Klimenko1980
\rhl{K}
\refJ Klimenko,  V. T;
Reconstruction of a surface from incomplete data by two
dimensional Hermite type splines (Russian);
Priklad.\ Geom.\ i Inzener.\ Grafica; 30; 1980; 73--76;

%Klucewicz1977
\rhl{K}
\refJ Klucewicz,  I. M.;
A piecewise $C^1$ interpolant to arbitrarily spaced data;
Computer Graphics Image Proc.; 8; 1977; 92--112;

%Knapp1979
% larry
\rhl{K}
\refD Knapp,  L;
A design scheme using Coons surfaces with
nonuniform B-spline curves;
Syracuse University; 1979;

%Knapp1982
\rhl{K}
\refJ Knapp,  L.;
A design scheme using Coons surfaces with nonuniform basis
B-spline curves;
Computers in  Industry; 3; 1982; 53--68;

%Knoop1972
\rhl{K}
\refD Knoop,  H. B.;
Zur mehrdimensionalen Hermite-Interpolation;
Bochum; 1972;

%Knoop1974
% sonya
\rhl{K}
\refJ Knoop,  H. B.;
On Hermite interpolation in normed vector spaces;
\JAT; 11; 1974; 327--337;

%Knoop1985
\rhl{K}
\refP Knoop,  H. B;
Hermite-Fej\'er interpolation and higher Hermite-Fej\'er interpolation
with boundary conditions;
\MvatIII; 253--261;

%KnudonNagy1974
\rhl{K}
\refJ Knudon,  W., Nagy, D.;
Discrete data smoothing by spline
	 interpolation with application to geometry of cable nets;
Comput.\  Meth.\ Appl.\  Mech.\  Eng.; 4; 1974;  321--348;

%Kobbelt1996
% carl 26aug99
\rhl{K}
\refJ Kobbelt, L.;
A variational approach to subdivision;
\CAGD; 13; 1996; 743--761;

%Kobbelt1997
% carl 26aug99
\rhl{K}
\refJ Kobbelt, L.;
Stable evaluation of box splines;
\NA; 14(4); 1997; 377--382;

%KobbeltCampagnaVorsatzSeidel1998
% author 20apr00
\rhl{}
\refQ Kobbelt, L., Camgagna, S., Vorsatz, J., Seidel, H.-P.;
Interactive multiresolution modeling on arbitrary meshes;
(SIGRAPH 98 Conference Proceedings), xxx (ed.), xxx (xxx); 1998; 105--114;

%Kobza1987
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
\AUPOFRNM;
\AM; 32; 1987; 401--413;

%Kobza1990
% author
\rhl{K}
\refJ Kobza,  Ji\v{r}\'\i;
Some properties of interpolating quadratic spline;
Acta UPO, FRN; 97; 1990; 45--64;

%Kobza1991
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Quadratic splines interpolating derivatives;
\AUPOFRNM; 30; 1991; 219--233;

%Kobza1992a
% Kobza Jiri 02feb01
\rhl{K}
\refQ Kobza, J.;
Interpolatory and smoothing splines of even degrees;
(Proc.~Intern.~Symp.\ Numer.~Anal. (ISNA'92) III. Contrib.~Papers),
Math.Fac. (eds.), Charles University (Prague); 1992; 122--136;

%Kobza1992b
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Quadratic splines smoothing the first derivatives;
\AM; 37; 1992; 149--156;

%Kobza1992c
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Error estimates for quadratic spline interpolating derivatives;
\AUPOFRNM; 31; 1992; 101--108;

%Kobza1993
% . 02feb01
\rhl{}
\refR Kobza, J.;
Splines in solving initial value problems;
SANM, Cheb'93, 43--52; 1993;

%Kobza1995a
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Spline recurrences for quartic splines;
\AUPOFRNM; 34; 1995; 75--89;

%Kobza1995b
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Some algorithms for computing local parameters of quartic splines;
\AUPOFRNM; 34; 1995; 63--73;

%Kobza1995c
% . 02feb01
\rhl{}
\refR Kobza, J.;
Quartic smoothing splines;
Proc.SANM'95, 122--134; 1995;

%Kobza1995d
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Computing local parameters of biquartic interpolatory splines;
\JCAM; 63; 1995; 229--236;

%Kobza1996a
% . 02feb01
\rhl{}
\refR Kobza, J.;
Quartic interpolatory and smoothing splines;
Proc.{} ICAOR'96, 275--286; 1996;

%Kobza1996b
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Quartic and biquartic interpolatory splines on simple grid;
\AUPOFRNM; 35; 1996; 61--72;

%Kobza1996c
% . 02feb01
\rhl{}
\refR Kobza, J.;
Mean values smoothing splines;
Proc.{} ESES'96, 81--86; 1996;

%Kobza1997
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Local representations of quartic splines;
\AUPOFRNM; 36; 1997; 63--78;

%Kobza1998
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Quartic local and quasilocal splines;
Folia Fac.\ Sci.\ Natur.\ Univ.\ Purk.\ Brun.\ Math.; 7; 1998; 37--52;

%Kobza1999
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Optimal polygonal interpolation;
\AUPOFRNM; 38; 1999; 59--71;

%Kobza2000a
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Optimal quadratic splines on general knotset;
\AUPOFRNM; 39; 2000; xxx;

%Kobza2000b
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Iterative functional equation x(x(t))=f(t) with f(t) piecewise linear;
\JCAM; 115; 2000; 331--347;

%Kobza2001
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J.;
Cubic splines with minimal norm;
\AM; xxx; 2001; xxx;

%KobzaBlagaMicula1996
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J., Blaga, P., Micula, G.;
Low order splines in solving neutral delay differential equations;
Studia Univ.\ Babe{\c s}-Bolya Math; 41; 1996; 73--85;

%KobzaKucera1993
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J., Kucera, R.;
Fundamental quadratic splines and applications;
\AUPOFRNM; 32; 1993; 81--98;

%KobzaMlcak1994
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J., Mlcak, J.;
Biquadratic splines interpolating mean values;
\AM; 39; 1994; 339--356;

%KobzaZapalka1991
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J., Zapalka, D.;
Natural and smoothing quadratic spline;
\AM; 36; 1991; 187--204;

%KobzaZencak1997
% Kobza Jiri 02feb01
\rhl{}
\refJ Kobza, J., Zencak, P.;
Some algorithms for quartic smoothing splines;
\AUPOFRNM; 36; 1997; 79--94;

%KocChen1993
% carl
\rhl{K}
\refJ Ko\c c,  \c Cetin Kaya, Chen, Guanrong;
%  for some reason, this sedilla macro screws up the reading of the author
% name in decodeau; just ignore it, and all is well.
A fast algorithm for scalar Nevanlinna-Pick interpolation;
\NM; 64(1); 1993; 115--126;
% rational interpolation to functions on the open complex unit disc

%KocakPhillips1994
% .
\rhl{K}
\refJ Ko\c{c}ak, Z., Phillips, G. M.;
B-splines with geometric knot spacings;
BIT; 34(3); 1994; 388--399;

%KochK1973
\rhl{K}
\refJ Koch,  K. R.;
H\"oheninterpolation mittels gleitender Schr\"agebene und Pr\"a\-diktion;
Mitteilungsblatt, Z\"urich; xxx; 1973; 292--232;

%KochK1973b
% larry
\rhl{K}
\refJ Koch,  K. R.;
Digitales Gel\"andemodell und automatische Hohenlinien\-zeichnung;
Z. Vermessungswesen; 8; 1973; 346--352;

%KochKLauer1971
\rhl{K}
\refR Koch,  K. R., Lauer, S.;
Automation der Isoliniendarstellung mit
Hilfe des Wiener-und des Kalman-filters;
Rpt.\  2, Institut f\"ur Theoretische Geodasie, Bonn; 1971;

%KochP1978
% larry
\rhl{K}
\refR Koch,  P. E.;
Error bounds for trigonometric spline interpolation;
Thesis, Univ.\ Oslo; 1978;

%KochP1982
\rhl{K}
\refR Koch,  P. E.;
Jackson theorems for generalized polynomials with special applications to
trigonometric and hyperbolic functions;
Oslo; 1982;

%KochP1982b
\rhl{K}
\refR Koch,  P. E.;
Collocation by $L$-splines at transformed Gaussian points;
Univ.\ of Oslo; 1982;

%KochP1982c
\rhl{K}
\refD Koch,  P. E.;
Collocation by $L$-splines at Gaussian points;
Univ.\ of Oslo; 1982;

%KochP1984a
\rhl{K}
\refP Koch,  P. E.;
Error bounds for interpolation by fourth order trigonometric splines;
\Singh; 349--360;

%KochP1984b
\rhl{K}
\refR Koch,  P. E.;
Exponentially fitted collocation methods for singularly perturbed
two-point boundary value problems;
Oslo; 1984;

%KochP1985
\rhl{K}
\refP Koch,  P. E.;
Jackson-type theorems for trigonometric polynomials and splines;
\Szabados;  485--493;

%KochP1985b
% larry
\rhl{K}
\refJ Koch, P. E.;
An extension of the theory of orthogonal polynomials and Gaussian
   quadrature to trigonometric and hyperbolic polynomials;
\JAT; 43; 1985; 157--177;

%KochP1988
% sonya
\rhl{K}
\refJ Koch,  P. E.;
Multivariate trigonometric B-splines;
\JAT; 54; 1988; 162--168;

%KochP1999
\rhl{K}
\refR Koch,  P. E.;
Local trigonometric spline approximation;
xxx; xxx;

%KochPLyche1980
% larry
\rhl{K}
\refP Koch,  P. E., Lyche, T.;
Bounds for the error in trigonometric Hermite interpolation;
\BonnII; 185--196;

%KochPLyche1989
% tom
\rhl{K}
\refJ Koch,  P. E., Lyche, T.;
Error estimates for best approximation by piecewise trigonometric
   and hyperbolic polynomials;
Det Kongelige Norske Vitenskapers Selskap, Skrifter; 
2; 1989; 73--86;

%KochPLyche1990
% tom
\rhl{K}
\refP Koch,  P. E., Lyche, T.;
Exponential B-splines in tension;
\TexasVI; 361--364;

%KochPLyche1991
% . 29apr97
\rhl{K}
\refP Koch, P. E., Lyche, T.;
Construction of exponential tension B-spline of arbitrary order;
\ChamonixI; 255--258;

%KochPLyche1992a
\rhl{K}
\refR Koch,  P. E., Lyche, T.;
Calculating with exponential B-splines in tension;
preprint; 1992;

%KochPLyche1992b
% author
\rhl{K}
\refJ Koch, P. E., Lyche, T.;
Interpolation with exponential B-splines in tension;
\C\ Supplemts; 8; 1992; 173--190;

%KochPLycheNeamtuSchumaker1995
\rhl{}
% larry
\refJ Koch, P. E., Lyche, T., Neamtu, M., Schumaker, L. L.;
Control curves and knot insertion for trigonometric splines;
\AiCM; 3; 1995; 405--424;

%KochPWangK1988a
% larry
\rhl{K}
\refJ Koch,  P. E., Wang, K.;
The introduction of B-splines to
trajectory planning for robot manipulators;
Modelling, Identification and Control;  9; 1988; 69--80;

%KochanekBartels1984
\rhl{K}
\refJ Kochanek,  D. H. U., Bartels, R. H.;
Interpolating splines with local tension, continuity and bias control;
Computer Graphics;
18;
1984;
33--41;

%KochanekBartelsBooth1982
\rhl{K}
\refR Kochanek,  D. H. U., Bartels, R. H., Booth, K. S.;
A computer system for smooth keyframe animation;
CS--82--42, Department of Computer Science, University of 
Waterloo;
1982;

%Kochevar1974
\rhl{K}
\refJ Kochevar,  P. D.;
An application of multivariate B-splines to
	 computer-aided geometrical design;
\RMJM; 14; 1974;  159--175;

%Kochevar1982
\rhl{K}
\refR Kochevar,  P. D;
A multidimensional analogue of Schoenberg's spline
approximation method;
Master's Thesis, Univ.\ Utah; 1982;

%Kochevar1984
\rhl{K}
\refJ Kochevar,  P.;
An application of multivariate B-splines to computer-aided geometric design;
\RMJM;
 14;
1984;
159--175;

%Kochurov1995a
% carl 21feb96
\rhl{K}
\refJ Kochurov, A. S.;
Approximation by piecewise constant functions on the square;
\EJA; 1(4); 1995; 463--478;
% adaptive approximation by piecewise constants on a partition of $[0..1]^2$
% into  N  polygons, each with axi-parallel sides containing no more than 2N 
% segments

%Kocsis1977
\rhl{K}
\refJ Kocsis,  J.;
An inventory model by spline approximation;
Probl.\ of Control and Info.\  Th.\  Budapest; 6; 1977;  437--448;

%KoellingWhitten1973
\rhl{K}
\refJ Koelling,  M. E. V., Whitten, E. H. T.;
FORTRAN IV program for spline surface interpolation
and contour map production;
Geocomprograms; 9; 1973; 1--12;

%Koenderink1990
% carl 03dec99
\rhl{K}
\refB Koenderink, Jan J.;
Solid Shape;
MIT Press (Cambridge MA); 1990;
% unusual and very perceptive intro to shape

%KohYWLeeSLTanHH1995
% MR1339801 (96g:42017) 06jun04
\rhl{KLT}
\refJ Koh, Y. W., Lee, S. L., Tan, H. H.;
Periodic orthogonal splines and wavelets;
\ACHA; 2(3); 1995; 201--218;

%Kohler1991a
% shayne 26oct95
\rhl{K}
\refJ K\"ohler, P.;
Dual approximation methods and Peano kernels;
Analysis; 11; 1991; 323--343;

%Kohler1994
% . 12mar97
\rhl{K}
\refP K\"ohler, P.;
Estimates for linear remainder functionals by the modulus of continuity;
\Openproblems; xxx--xxx;

%Kohler1995
% carl 07may96
\rhl{K}
\refP K\"ohler, P.;
Error estimates for polynomial and spline interpolation by the modulus of
   continuity;
\IDoMATnifi; 141--150;
% estimates   \int_a^b f(x) d m(x)  under the assumption  that m(a)=0=m(b),
% d m is orthogonal to constants. This brings in the places where  m has
% extrema and the modulus of continuity of  f .

%KohlerM1999a
% .
\rhl{}
\refJ Kohler, M.;
Universally consistent regression function estimation using hierarchical
B-splines;
J. Multivar.\ Anal.; 68; 1999; 138--164;

%KohlerNikolov1995a
% carl 14sep95 02feb01
\rhl{K}
\refJ K\"ohler, Peter, Nikolov, Geno;
Error bounds for Gauss type quadrature formulae related to spaces of
   splines with equidistant knots;
\JAT; 81(3); 1995; 368--388;
% Budan-Fourier. corrects a mistake (see page 374) in  BoorSchoenberg76
% deals with quadrature rules that are Gauss, for a spline space with (finite) 
% interiorly uniform knot sequence, in the sense that among all quadrature 
% rules exact for that space, it uses the fewest number of point evaluations.

%KohlerNikolov1995b
% carl 14sep95
\rhl{K}
\refJ K\"ohler, Peter, Nikolov, Geno;
Error bounds for optimal definite quadrature formulae;
\JAT; 81(3); 1995; 397--405;

%Kokhanovsky1995
% . 24mar99
\rhl{K}
\refJ Kokhanovsky, I. I.;
Normal splines in computing tomography (Russian);
Avtometriya; 2; 1995; 84--89;

%KokkonisLeute1996a
% carl 5dec96
\rhl{K}
\refJ Kokkonis, Polyzois A., Leute, Volkmar;
Least squares splines approximation applied to multicomponent diffusion data;
Comput.\ Materials Sci.; 6; 1996; 103--111;
% uses newknt for a good knot distribution

%Kolb
\rhl{K}
\refR Kolb, A.;
Interpolating scattered data with $C^2$ surfaces;
Univ.\ Erlangen; xx;

%Kolmogorov1939
% . 22may98
\rhl{K}
\refJ Kolmogorov, A. N.;
On inequalities between the upper bounds of the successive derivatives of
   functions on an infinite interval;
Uchenye Zap.\ MGU, Mat.; 30(3); 1939; 3--13;
% translation: AMS Transl.\ Ser.~1,2 (1962), 233--243
% Landau-Kolmogorov inequality

%Kolobov1982
\rhl{K}
\refJ Kolobov,  B. P.;
One-dimensional and two-dimensional cubic
	 interpolation splines with additional nodes (Russian);
Cval.\ Metody Mekh.\  Sploshn.\ 	Sredi.; 13; 1982;  63--70;

%Kolodziej1979
\rhl{K}
\refR Kolodziej,  A.;
Konvergenzaussagen bei kubischen Interpolationssplines;
Staatsexam, Mainz; 1979;

%Kolzow1985
\rhl{K}
\refQ Kolzow,  D.;
The Radon transform---some recent results;
(Proceedings of the conference commemorating the 1st centennial of the Circolo 
Matematico di Palermo, 1984), 
xxx (ed.), Rendiconti del Circolo Matematico di Palermo.\ Serie II. Supplemento
(Palermo); 1985; 107--117;

%Konig1999
% shayne 03apr06
\rhl{}
\refJ K\"onig, H.;
Cubature formulas on spheres;
Math.\ Res.; 107; 1999;  201--211;

%Koornwinder1975
% carl
\rhl{K}
\refQ Koornwinder, Tom;
Two-variable analogues of the classical orthogonal polynomials;
(Theory and Applications of Special Functions), R. A. Askey (ed.),
Academic Press (New York); 1975; 435--495;
% survey

%KoparkarMudur1983
% larry, carl
\rhl{K}
\refJ Koparkar, P. A., Mudur, S. P.;
A new class of algorithms for the processing of parametric curves;
\CAD; 15(1); 1983; 41--45;
% curve splitting, algebraic forms.

%Kopotun1994
% author 02feb01
\rhl{}
\refJ Kopotun, K. A.;
Pointwise and uniform estimates for convex approximation of functions by
   algebraic polynomials;
\CA; 10(2); 1994; 153--178;

%Kopotun1995
% author 02feb01
\rhl{}
\refJ Kopotun, K. A.;
Coconvex polynomial approximation of twice differentiable functions;
\JAT; 83; 1995; 141--156;

%Kopotun1996
% author 02feb01
\rhl{}
\refJ Kopotun, K. A.;
Simultaneous approximation by algebraic polynomials;
\CA; 12; 1996; 67--94;
% is there $p_n\in\Pi_n$ with 
% $\norm{D^k(f-p_n)}_\infty\le \const_r\dist(D^k f)$ for $k=0:r$?
% (true for trig.pols; not known for algebr.pols). Shown to hold here for 
% algebr.pols, with $\dist(D^k f)$ replaced by weighted $r-k$-modulus of
% smoothness.

%Kopotun2001
% author 02feb01
\rhl{}
\refJ Kopotun, K. A.;
Whitney theorem of interpolatory type for $k$-monotone functions;
\CA; 17(2); 2001; 307--317;

%Kopotun2007
% . 05mar08
\rhl{K}
\refJ Kopotun, Kirill;
On equivalence of moduli of smoothness of splines in $L_p$, $0<p<1$;
\JAT; 143(1); 2006; 36--43;

%Korneichuk1962
% shayne 12mar97
\rhl{K}
\refJ Korneichuk, N. P.;
The exact constant in D. Jackson's theorem on best uniform approximation of
   continuous periodic functions;
\SMD; 3; 1962; 1040--1041;

%Korneichuk1968
\rhl{K}
\refJ Korneichuk,  N. P.;
Best cubature formulas for some classes of functions of many variables;
\MaZ; 3; 1968; 360--367;

%Korneichuk1975
\rhl{K}
\refJ Korneichuk,  N. P.;
On extremal subspaces and approximation
	 of periodic functions by splines of  minimal defect;
Anal.\  Math.; 1; 1975; 91--102;

%Korneichuk1983
% .
\rhl{K}
\refJ Korneichuk,  N. P.;
Comparison of permutations and error
	 estimations in interpolation by  splines (Russian);
Dokl.  Akad.  Nauk. Ukrainsk.  SSR A; XX; 1983;  11--21;

%Korneichuk1984a
% . 5dec96
\rhl{K}
\refB Korneichuk, N. P.;
Splines in Approximation Theory;
Izd.\ Nauka (Moscow); 1984;

%Korneichuk1991
% carlrefs 03apr06
\rhl{}
\refB Korneichuk, N.;
Exact constants in approximation theory;
Encycl.\ Math.\ Appl., Cambridge U. Press (Cambridge, England); 1991;

%KorneichukLigun1981
% carl
\rhl{K}
\refJ Korneichuk, N. P., Ligun, A. A.;
Error bound of spline interpolation in an integral metric;
Ukrainian Math.\ Journal; 33(3); 1981; 301--303;

%KornhuberRoitzsch1989
\rhl{K}
\refR Kornhuber,  R., Roitzsch, R.;
On adaptive grid refinement in the presence of internal or boundary layers;
Konrad-Zuse-Zentrum f.\ Informationstechnik, Berlin, Preprint SC 89-5; 1989;

%Korobkova1972
\rhl{K}
\refJ Korobkova,  M. B.;
On an existence theorem for spline
	 polynomials with a prescribed sequence sequence of extrema;
Math.\  Notes; 11; 1972;  158--160;

%Korovkin1960
% shayne 10nov97
\rhl{K}
\refB Korovkin, P. P.;
Linear Operators and Approximation Theory;
Hindustan Publishing Corp. (India); 1960;

%KorsanSeidman1971
\rhl{K}
\refR Korsan,  R., Seidman, T.;
A note on "the convergence of interpolating cubic splines";
Westinghouse; 1971;

%KosachevskajaRomanovstevShparlinski1983
\rhl{K}
\refJ Kosachevskaja,  L. L., Romanovstev, V. V., Shparlinski, I. E.;
On the spline-based method for experimental
  data deconvolution;
Comput.\ Phys.\ Comm.; 29; 1983; 227--230;

%KostovDubrule1986
\rhl{K}
\refJ Kostov,  C., Dubrule, O.;
An interpolation method taking into account inequality constraints,
II. Practical Approach;
Math.\ Geol.; 18; 1986; 53--73;

%KotyczkaOswald1995
% larry Lai-Schumaker book
\rhl{KotO95}
\refPa Kotyczka, U., Oswald, P.;
Piecewise linear prewavelets of small support;
\TexasIII; 235--242;

%Kounchev1991a
% .
\rhl{K}
\refJ Kounchev,  Ognyan Iv.;
Definition and basic properties of polysplines - I;
Compt.\ Rend.\ Acad.\ Sci.\ Bulg; 44(7); 1991; 9--11;

%Kounchev1992a
% sherm, volume, pagination update
\rhl{K}
\refJ Kounchev,  Ognyan Iv.;
Sharp estimate of the Laplacian of a polyharmonic function and applications;
\TAMS; 332(1); 1992; 121--133;

%Kounchev1994
% larry
\rhl{K}
\refP Kounchev, O. I.;
Splines constructed by pieces of polyharmonic functions;
\ChamonixIIb; 319--326;

%KovalenkoAzarera1988a
% .
\rhl{K}
\refJ Kovalenko, A. N., Azarera, S. V.;
Choice of nodes for multidimensional interpolation in problems of optimal
   design of mechanical systems;
Vestnik Leningrad Univ.\ Mat.\ Mekh.\ Astronom.; xxx; 1988; 109--111, 134;
% MR89i:41009

%Kovtunets2000
\rhl{}
\refP Kovtunets, V. V.;
Best approximation algorithms:  a unified approach;
\Stmalof; 255--262;

%Kowalewski1932a
% shayne 26oct95 20feb96
\rhl{K}
\refB Kowalewski, G.;
Interpolation und gen\"aherte Quadratur;
B. G. Teubner (Berlin); 1932;
% very good and thorough intro to polynomial interpolation. E.g.:
% (p.4) [(a_j-x)^{i-1}: i,j=1:n] [D^{j-1}\ell_i: i,j=1:n] = diag((i-1)!: i=1:n)
% (p.5) calls [a_j^{i-1}: i,j=1:n] the Cauchy matrix of order n for the a_j;
% (p.6) defines div.dif. as leading coefficient of interpolating polynomial
% (albeit with notation [f(a_1),...,f(a_n)] or even [f_1...f_n])
% (and calls it `Newtonscher Differenzenquotient');
% (p.16) has ([a_1,...,a_n]f)/[a_1,...,a_n]g = D^{n-1}f(\xi)/D^{n-1}g(\xi) if
% D^{n-1}g doesn't vanish on interval;
% (p.24) has error formula f(x) - P_{a_1,...,a_n}f (x) = 
%    \sum_j \ell_j(x)\int_{a_j}^x (a_j-u)^{n-1} D^n f(u) du/n! ;
% from which he derives, for n=2, the error formula \int_a^b K(x,u) D^2 f(u) du 
% with K(x,u) = -((u-a)(b-x) + (x-a)(b-u) - |x-u|(b-a))/(2(b-a));
% as well as various specific Peano kernels (not so called) for the standard
% quadrature formulae, even treating them (reluctantly) as piecewise
% polynomials of a certain smoothness,
% as well as the form and smoothness of the general Peano kernel for the
% quadrature formula based on general Hermite interpolation of various order at
% n points;
% uses  a...b  for the interval (a..b);

%KowalewskiA1917
% author 16aug02
\rhl{}
\refB Kowalewski, Arnold;
Newton, Cotes, Gauss, Jacobi: Vier grund\-legende Ab\-hand\-lungen \"uber
   Interpolation und gen\"aherte Quadratur;
Teubner (Leipzig); 1917;
% (brother of Gerhard Kowalewski)
% carefully commented translation of basic articles into German,
% with many very helpful comments and addenda.

%Kowalski1990a
% sonya
\rhl{K}
\refJ Kowalski,  Jan Krzysztof;
Application of box splines to the approximation of Sobolev spaces;
\JAT; 61; 1990; 53--73;

%Kowalski1990b
\rhl{K}
\refJ Kowalski,  Jan Krzysztof;
A method of approximation of Besov spaces;
\SM;  96; 1990; 183--193;

%KowalskiMA1982a
% . 12mar97
\rhl{K}
\refJ Kowalski, M. A.;
The recursion formulas for orthogonal polynomials in $n$ variables;
\SJMA; 13; 1982; 309--315;
% 3-term recurrence in terms of bases for the graded orthogonal spaces 
% $V_n:= \Pi_{n}\ominus \Pi_{n-1}$, $n=0,1,\ldots$.

%KowalskiMA1982b
% . 12mar97
\rhl{K}
\refJ Kowalski, M. A.;
Orthogonality and recursion formulas for polynomials in $n$ variables;
\SJMA; 13; 1982; 316--323;

%Kozak1986
% J. Kozak 14may99
\rhl{K}
\refJ Kozak, J.;
Shape preserving approximation; 
Computers in Industry; 7; 1986;  435--440;

%Kozak1995
% J. Kozak 14may99
\rhl{K}
\refJ Kozak, J.;
On the choice of the exterior knots in the B-spline basis;
Journal of China University of Science and Technology; 25; 1995; 172--177;
% mrc tsr 2148

%KozakLokar1988a
% J. Kozak 14may99
\rhl{K}
\refQ Kozak, J., Lokar, M.;
On calculating quadratic B-splines in two variables;
(Numerical methods and Approximation Theory III), G. Milovanovi\'c (ed.),
Faculty of Electronic Engineering (Ni\v s); 1988; 265--276;

%KozakLokar1988b
% J. Kozak 14may99
\rhl{K}
\refQ Kozak, J., Lokar, M.;
On bounded tension interpolation;
(Numerical methods and Approximation Theory III), G. Milovanovi\'c (ed.),
Faculty of Electronic Engineering (Ni\v s); 1988; 277--286;

%KozakLokar1992
% J. Kozak 14may99
\rhl{K}
\refP Kozak, J., Lokar, M.;
On piecewise quadratic $G^2$ approximation and interpolation;
\Biri; 359--366;

%KozakZagar2000
% larry 20apr00
\rhl{}
\refP Kozak, Jernej, {\v Z}agar, Emil;
On curve interpolation in $\RR^d$;
\Stmalof; 263--272;

%Kozma1978
\rhl{K}
\refJ Kozma,  Z.;
On a special type of cubic splines;
Bull.\  Acad.\ Polon.\  Sci,  Sci.\  Techn.; 26; 1978;  373--382;

%Kraft1997
% larry 10sep99
\rhl{K}
\rhl{K}
\refP Kraft, R.;
Adaptive and linearly independent multilevel B-splines;
\ChamonixIIIb; 209--218;

%KrallSheffer1967
% . 12mar97
\rhl{K}
\refJ Krall, H. L., Sheffer, I. M.;
Orthogonal polynomials in two variables;
Ann.\ Mat.\ Pura Appl.; 76(4); 1967; 325--376;
% first(?) suggestion to treat multivariate orthogonal polynomials in terms
% of the spaces
% $V_n:= \Pi_{n}\ominus \Pi_{n-1}$, $n=0,1,\ldots$. 

%Krasauskas1997
% larry 10sep99
\rhl{K}
\rhl{K}
\refP Krasauskas, K.;
Universal parameterizations of some rational surfaces;
\ChamonixIIIa; 231--238;

%Kratzer1980
\rhl{K}
\refR Kratzer,  D. H.;
Computer aided surface generation;
Master thesis, California Polytech; 1980;

%Kraus1972
\rhl{K}
\refJ Kraus,  K.;
Film deformation correction with least squares interpolation;
Photogrammetric Engr.; 38; 1972; 487--493;

%KrausMikhail1972
\rhl{K}
\refJ Kraus,  K., Mikhail, E. M.;
Linear least squares interpolation;
Photogrammetric Engr.; 38; 1972; 1016--1029;

%KravchenkoMoinMoser1996
% Olivier Botella 02feb01
\rhl{}
\refJ Kravchenko, A. G., Moin, P., Moser, R. D.;
Zonal embedded grids for numerical simulations of wall-bounded turbulent
   flows;
\JCP; 127; 1996; 412--423;
% grids for B-spline method

%KravchenkoMoinShariff1999
% Olivier Botella 02feb01
\rhl{}
\refJ Kravchenko, A. G.,  Moin, P., Shariff, K. R.;
B-spline method and zonal grids for simulation of complex turbulent flows;
\JCP; 151; 1999; 757--789;

%Krebs1988
% larry
\rhl{K}
\refD Krebs,  F.;
Periodische splines auf dem regelm\"assigen Sechseckgitter;
Univ.\ Dortmund; 1988;

%Krein1938a
% . 19may96
\rhl{K}
\refQ Krein, M. G.;
The $L$-problem in an abstract normed space, Article IV;
(Some Questions in the Theory of Moments), N. I. Ahiezer and M. G. Krein
(eds.), Gonti (Kharkov); 1938; xxx--xxx;
% English translation see Krein62

%Krein1962a
% . 19may96
\rhl{K}
\refQ Krein, M. G.;
The $L$-problem in an abstract normed space, Article IV;
(Some Questions in the Theory of Moments), N. I. Ahiezer and M. G. Krein
(eds.), Transl.\ Math.\ Monographs v.22 (series 2), AMS (Providence RI);
1962; 163--288;

%KreinFinkelstein1939a
% . 19may96
\rhl{K}
\refJ Krein, M. G., Finkelstein, G.;
Sur les fonctions de Green completement non-negatives des operateurs
   differentiels ordinaires;
\DAN; 24; 1939; 202--223;

%Kress1972
% larry, carl
\rhl{K}
\refJ Kress, R.;
On the general Hermite cardinal interpolation;
\MC; 26(120); 1972; 925--933;
% cardinal function, quadrature formulae, analytic functions, error bounds.

%Kreyszig1978a
% shayne 26oct95
\rhl{K}
\refB Kreyszig, E.;
Introductory functional analysis with applications;
Wiley (New York); 1978;
% good basic functional analysis reference

%Kreyszig1994
% carl
\rhl{K}
\refJ Kreiszig,  Erwin;
A new standard isometry of developable surfaces in CAD/CAM;
\SJMA; 25(1); 1994; 174--178;

%KriezisPatrikalakisWolter1990a
\rhl{K}
\refR Kriezis,  G. A., Patrikalakis, N. M., Wolter, F.-E.;
Topological and differential-equation methods for rational spline surface 
intersections;
MIT, Cambridge, Design Laboratory Memorandum 90-3; 1990;

%KriezisPatrikalakisWolter1990b
% carl
\rhl{K}
\refJ Kriezis, George A., Patrikalakis, Nicholas M., Wolter, Franz-Erich;
Topological and differential equation methods for surface intersections;
\CAD; 24(1); 1992; 41--55;

%Krige1951
% . 12mar97
\rhl{K}
\refR Krige, D. G.;
A statistical approach to some mine evaluation and
   allied problems on the Witwatersrand;
M.S. Thesis, Univ.\ of Witwatersrand; 1951;
% first paper on kriging???? 

%Krige1966
\rhl{K}
\refJ Krige,  D. G.;
Two dimensional weighted moving average trend surfaces for ore
valuation;
J. South African Inst.\ Mining Metallurgy; 67; 1966; 13--38;

%Krige1976
\rhl{K}
\refJ Krige,  G.;
Some basic considerations in the application of
geostatistics to the valuation of ore in South
African gold mines;
J. South African Inst.\ Mining Metallurgy; 76; 1976; 383--391;

%Krige1986
\rhl{K}
\refJ Krige,  D. G.;
`Matheronian Geostatistics--Quo Vadis' by G. M.
Philip and D. F. Watson;
Math.\ Geol.; 18; 1986; 501--502;

%Krinzesza1969
% larry
\rhl{K}
\refD Krinzesza,  F.;
Zur periodischen Spline-Interpolation;
Ruhr Univ.\  Bochum.; 1969;

%KrishnamurthyVenkateswaranPandurangan1978
\rhl{K}
\refR Krishnamurthy,  E., Venkateswaran, H., Pandurangan, C.;
Data structure and arithmetic for multivariable polynomials--
application to cardinal spline interpolation;
Bangalore; 1978;

%Krizek1992
% sherm, pagination
\rhl{K}
\refJ Krizek,  M.;
On the maximum angle condition for linear tetrahedral elements;
\SJNA; 29(2); 1992; 513--520;

%KrizekNeittaanmaki1987
% .
\rhl{K}
\refJ Krizek, M., Neittaanm\"aki, P.;
On superconvergence techniques;
Acta Appl.\ Math.; 9; 1987; 175--198;
% survey on superconvergence in nonconforming finite elements

%Krogh1970
% . 05mar08
\rhl{K}
\refJ Krogh, F.;
Efficient algorithms for polynomial interpolation and divided differences;
\MC; 24; 1970; 185--190;

%Krohn1976
\rhl{K}
\refJ Krohn,  D. H.;
Gravity terrain corrections using multiquadric equations;
Geophysics; 41; 1976; 266--275;

%Kronecker1865
% carl 14may99 16aug02 28sep08
\rhl{}
\refQ Kronecker, L.;
\"Uber einige Interpolationsformeln f\"ur ganze Functionen mehrer Variabeln
(Lecture read at the Berlin Academy of Sciences on 21 December 1865);
Monatsberichte der K\"oniglich Preussischen Akademie der Wissenschaften zu
Berlin aus dem Jahre 1865; 1866; 686--691;
see (L. Kroneckers Werke, I), H. Hensel (ed.), Teubner 1895, reprinted by 
Chelsea Publishing 1968 (???):  133--141.
% [p_1; ...; p_d] := P in Pi(C^d)^{d\times 1}, V := var(ideal(p_1,...,p_d)).
% Then, for any v in V, there is F_v in Pi^{d\times d} so that P =  F_v (.-v).
% While F_v is not uniquely determined, F_v(w) is singular for every w in V\v
% (since P(w) = 0 while (w-v) is not). Assuming F_v(v) not singular for any v
% in V (i.e., every v in V is simple), one gets the Lagrange form 
% sum_v f(v) det F_v/det F_v(v) of a polynomial that matches f on V. 
% Can choose F_v to have F_v\leading equal to DP(v)\leading.

%KrooSchmidtDSommer1992
% carl
\rhl{K}
\refJ Kro\'o,  A., Schmidt, D., Sommer, M.;
On $A$-spaces and their relation to the Hobby-Rice theorem;
\JAT; 68; 1992; 136--154;

%KrooSommerStrauss1999
\rhl{K}
\refR Kro\'o,  A., Sommer, M., Strauss, H.;
On strong uniqueness in one-sided $L^1$ approximation of differentiable
functions;
xx; 19xx;

%Krumbein1959
\rhl{K}
\refJ Krumbein,  W. C;
Trend surface analysis of contour-type maps with
irregular control-point spacing;
J. Geophysical Res.; 64; 1959; 823--834;

%Krystadt1984
% larry
\rhl{K}
\refR Krystadt,  U. J.;
On the Schoenberg Whitney theorem for L-splines (Norwegian);
Diplom thesis, Oslo; 1984;

%Ktryan2009
% carl 04mar10
\rhl{}
\refJ Ktryan, G. A.;
Bivariate interpolation by integrals;
Proc.\ Yerevan State Univ.\ Phys.\ Mathem.\ Sci.; 2; 2009; 26--31;
{\tt http://www.ysu.am/userfiles/press/245\_Gitakan\%20texekagir\%20matfiz+.pdf}
% a new proof of the result of Rahseparfard09, using the fact that
% p\in\Pi_{\le1} vanishes on a bounded region with nonzero area iff it
% vanishes at the centroid of that area. This gives the Rahseparfard result
% from the observation that the centroids of the bounded regions generated by
% 4 lines in general position are not collinear.

%Kubik1992
\rhl{K}
\refR Kubik, K.;
Approximation of measured data by piecewise bicubic polynomial
functions;
xx; xx;

%Kubik1999
\rhl{K}
\refR Kubik,  K.;
The interpolation of smooth curves;
XX; 19xx;

%KubikKunjiKure1968
\rhl{K}
\refR Kubik,  K., Kunji, B., Kure, J.;
A computer program for height block adjustment;
ITC; 1968;

%Kubota1972a
\rhl{K}
\refJ Kubota,  K. K.;
Pythagorean triples in unique factorization domains;
American Mathematical Monthly;  79; 1972; 503--505;

%Kuehn2008
% carl 21nov08
\rhl{K}
\refR Kuehn, Christian;
Introduction to Potential Theory via Applications;
\hfill\vskip0pt{{\tt http://arxiv.org/abs/0804.4689}}; 2008;
% could serve as notes for a short course

%KufnerWannebo1992
% shayne 10nov97
\rhl{K}
\refJ Kufner, A., Wannebo, A.;
Some remarks on the Hardy inequality for higher order derivatives;
Internat.\ Ser.\ Numer.\ Math.; 103; 1992; 33--48;
% MR: 94b:26017

%Kuhn1960
% carl 02feb01
\rhl{}
\refJ Kuhn, H. W.;
Some combinatorial lemmas in topology;
IBM J. Res.\ Develop.; 45; 1960; 518--524;
% Kuhn's simplex refinement

%KuijtDamme1996
% Frans Kuijt 29apr97
\rhl{K}
\refR Kuijt, F., Damme, R. van;
Convexity preserving interpolatory subdivision schemes;
Memorandum no.\ 1357, Faculty of Applied Mathematics, University of Twente;
1996;

%KuijtDamme1996
% Frans Kuijt 29apr97
\rhl{K}
\refR Kuijt, F., Damme, R. M. J. van;
Convexity preserving interpolatory subdivision schemes;
Memorandum no.\ 1357, University of Twente, Faculty of Applied Mathematics;
1996;

%KuijtDamme1997
% Frans Kuijt 29apr97
\rhl{K}
\refP Kuijt, F., Damme, R. van;
Smooth interpolation by a convexity preserving nonlinear subdivision algorithm;
\ChamonixIIIb; 219--224;

%KuijtDamme1998
% Ruud van Damme 26aug98
\rhl{K}
\refJ Kuijt, F., Damme, R. van;
Monotonicity preserving interpolatory subdivision schemes;
\JCAM; 101; 1998; 203--229;

%KuijtDamme1998
% Ruud van Damme 26aug98
\rhl{K}
\refJ Kuijt, F., Damme, R. van;
Convexity preserving interpolatory subdivision schemes;
\CA; 14; 1998; 609--630;

%KulkarniLaurent1991
% carl 15jan99
\rhl{K}
\refJ Kulkarni, Rekha, Laurent, Pierre-Jean;
$Q$-splines;
\NA; 1; 1991; 45--73;
% weighted splines, i.e., interpolating (and smoothing) splines for the
% seminorm $\norm{f}:=\int w (D^k f)^2$ with,  w  the reciprocal of a broken
% line, q,  with breaks at the data sites.

%KulkarniLaurent1991a
% larry
\rhl{K}
\refP Kulkarni,  R., Laurent, P. J.;
Pseudo-cubic weighted splines can be
$C^2$ or $G^2$;
\ChamonixI; 271--274;

%KumarGovil1992
% carl
\rhl{K}
\refJ Kumar,  Arun, Govil, L. K.;
On deficient cubic spline interpolants;
\JAT; 68; 1992; 175--182;

%Kunkle1992
% carl
\rhl{K}
\refJ Kunkle,  Thomas;
Lagrange interpolation on a lattice: bounding derivatives by divided
differences;
\JAT; 71(1); 1992; 94--103;

%Kunkle1996a
% carl 07may96
\rhl{K}
\refJ Kunkle, Thomas;
Multivariate differences, polynomials, and splines;
\JAT; 84(3); 1996; 290--314;

%Kunkle1999
% carl 26aug99
\rhl{K}
\refJ Kunkle,  Thomas;
Exponential box-like splines on nonuniform grids;
\CA; 15(3); 1999; 311--336;

%Kunkle2000
% carl 21jan02
\rhl{}
\refJ Kunkle, Thomas;
Characterizations of multivariate differences and associated exponential
   splines;
\JAT; 105(1); 2000; 19--48;

%Kunoth1994
% larry
\rhl{K}
\refP Kunoth, A.;
On the fast evaluation of integrals of refinable functions;
\ChamonixIIb; 327--334;

%Kuntzmann1959
% BulirschRutishauser68 20nov03
\rhl{}
\refB Kuntzmann, J.;
M\'ethodes num\'eriques, interpolation-d\'eriv\'ees;
Dunod (Paris); 1959;
% calls lower sets aka shadow sets "polynome plein" and the support of the 
% polynomial coefficients (as functions of the index of the corresponding
% monomial) "silhouette d'un polynome".

%Kuo1971
\rhl{K}
\refQ Kuo,  C. S.;
Computer methods for ship surface design;
(xxx), xxx (ed.), Longman (London); 1971;	51--62;

%Kuo1974
\rhl{K}
\refJ Kuo,  C. S.;
On the boundary values of the derivatives
	 of splines of degree three;
Acta Math.\  Sinica; 17; 1974;  234--241;

%Kuo1975
\rhl{K}
\refJ Kuo,  C. S.;
Lacunary interpolation using splines;
Acta Math.\  Sinica; 18; 1975;  247--253;

%Kurkchiev1981
\rhl{K}
\refJ Kurkchiev,  N. V.;
A class of parabolic interpolation splines
	 having tangents of a special form (Russian);
Serdica; 7; 1981;  343--347;

%KurodaMukai2000
% larry 20apr00
\rhl{}
\refP Kuroda, Mitsuru, Mukai, Shinji;
Interpolating involute curves;
\Stmalof; 273--280;

%KuzminDaniel1997
% larry 10sep99
\rhl{KD}
\rhl{K}
\refP Kuzmin, Y., Daniel, M.;
Curves on surfaces for computer graphics: theoretical results;
\ChamonixIIIa; 239--246;

%Kvasov1973
\rhl{K}
\refJ Kvasov,  B. I.;
Obtaining splines by averaging step functions
	 with supplementary nodes;
Numer.\ Math.\  Cont.\ Mech.\  Novosibirsk; 4; 1973;  39--55;

%Kvasov1977
\rhl{K}
\refJ Kvasov,  B. I.;
Spline solution of a mixed Lagrange-Hermite
	 problem (Russian);
Cisl.\  Metody Meh.\ Splosn.\  Sredy; 8; 1977;  59--82;

%Kvasov1981
\rhl{K}
\refR Kvasov,  B. I.;
Interpolation by quadratic splines (Russian);
Novosobirsk; 1981;

%Kvasov1982
\rhl{K}
\refR Kvasov,  B. I.;
Discrete interpolation .... (Russian);
Novosobirsk; 1982;

%Kvasov1982b
\rhl{K}
\refR Kvasov,  B. I.;
On interpolation with parabolic splines (Russian);
Novosobirsk; 1982;

%Kvasov2000
% author 02feb01
\rhl{}
\refB Kvasov, Boris I.;
Methods of Shape Preserving Spline Approximation;
World Scientific Publishing Co Pte Ltd (Singapore); 2000;
% ISSN 981-02-4010-4
% Chapter  1. Interpolation by Polynomials and Lagrange Splines      7
% Chapter  2. Cubic Spline Interpolation			    37
% Chapter  3. Algorithms for Computing 1-D and 2-D Polynomial
%             Splines                                               61
% Chapter  4. Methods of Monotone and Convex Spline Interpolation   97
% Chapter  5. Methods of Shape-Preserving Spline Interpolation     127
% Chapter  6. Local Bases for Generalized Tension Splines          155
% Chapter  7. GB-Splines of Arbitrary Order                        185
% Chapter  8. Methods of Shape-Preserving Local Spline
%             Approximation                                        215
% Chapter  9. Difference Method for Construction Hyperbolic
%             Tension Splines                                      239
% Chapter 10. Discrete Generalized Tension Splines                 265
% Chapter 11. Methods of Shape-Preserving Parametrization          293
% References                                                       311
% Appendix A. Example: Reconstruction of a Ship Surface            325
% Appendix B. Computer Programs for Shape-Preserving Surface
%             Approximation                                        331
% Index                                                            335

%KvasovSattayatha1997
% larry 10sep99
\rhl{KS}
\rhl{K}
\refP Kvasov, B. I., Sattayatha, P.;
Generalized tension B-splines;
\ChamonixIIIa; 247--254;

%KvasovYatsenko1988
\rhl{K}
\refR Kvasov,  B. I., Yatsenko, C. A.;
Problems of isogeometric interpolation with classes of rational
splines (Russian);
xx; 1988;

%KvasovYatsenko1988b
\rhl{K}
\refR Kvasov,  B. I., Yatsenko, C. A.;
Isogeometric interpolation by rational splines;
xx; 1988;

%KvasovYatsenko1992
\rhl{K}
\refR Kvasov,  B. I., Yatsenko, S. A.;
Conversative approximation by rational splines;
USSR Academy of Sciences, Novosibirsk, 630090; xxx;

%Kyriazis1995a
% carl 14sep95
\rhl{K}
\refJ Kyriazis, G. C.;
Approximation from shift-invariant spaces;
\CA; 11(2); 1995; 141--164;

%Kyriazis1996a
% carl 19may96
\rhl{K}
\refJ Kyriazis, George C.;
Approximation orders of principal shift-invariant spaces generated
   by box splines;
\JAT; 85(2); 1996; 218--232;

%Kyriazis1996b
% carl 12mar97
\rhl{K}
\refJ Kyriazis, George C.;
Approximation of distribution spaces by means of kernel operators;
\JFAA; 2(3); 1996; 261--286;

%Kyriazis1997
% carl 12mar97
\rhl{K}
\refJ Kyriazis, George C.;
Wavelet-type decompositions and approximations from shift-invariant spaces;
\JAT; xx; 199x; xxx--xxx;
% TR/10/95 math and stat, Univ.Cyprus

%KyriazisPetrushev1999
% carl 03dec99
\rhl{K}
\refR Kyriazis, G., Petrushev, P.;
New bases for Triebel-Lizorkin and Besov spaces;
IMI 1999:06, Mathematics, Univ.South Carolina; 1999;
% unconditional bases for various spaces from dilated translates of a few
% functions

