%KaasaWestgaard94 % larry \rhl{K} \refP Kaasa, J., Westgaard, G.; The `face lift' algorithm; \ChamonixIIb; 303--310; %KaasaWestgaard97 % larry 10sep99 \rhl{KW} \rhl{K} \refP Kaasa, J., Westgaard, G.; Analysis of curvature related surface shape properties; \ChamonixIIIa; 211--215; %KacsoWenz97 % larry 10sep99 \rhl{KW} \rhl{K} \refP Kacs\'o, D., Wenz, H.-J.; On an almost--convex--hull property; \ChamonixIIIa; 217--222; %KafritasBras81 % . 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 %Kageyama03 % . 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; %Kahan97 % carl 26sep02 \rhl{K} \refR Kahan, W.; Divided differences of algebraic functions; notes, september 1; 1997; % multivariate divided differences %KahanFarkas63a \rhl{} 20nov03 \refJ Kahan, W., Farkas, I.; Algorithm 167: Calculation of confluent divided differences; \CACM; 6(4); 1963; 164; %KahanFarkas63b \rhl{} 20nov03 \refJ Kahan, W., Farkas, I.; Algorithm 168: Newton interpolaton with backward divided differences; \CACM; 6(4); 1963; 165; %KahanFarkas63c \rhl{} 20nov03 \refJ Kahan, W., Farkas, I.; Algorithm 169: Newton interpolaton with forward divided differences; \CACM; 6(4); 1963; 165; %KahanFateman85 % . 16aug02 \rhl{KF85} \refR Kahan, W., Fateman, R.; Symbolic Computation of Divided Differences; unpublished report, available at {\tt http://www.cs.berkeley.edu/}$\sim${\tt fateman/papers/divdiff.pdf}; 1985; %Kahane61 \rhl{K} \refR Kahane, J. P.; Teoreia constructivea de functiones; Buenos Aires; 1961; %Kahmann82 \rhl{K} \refD Kahmann, J.; Kr\"ummungs\"uberg\"ange zusammengesetzter Kurven und Fl\"achen; TU Braunschweig; 1982; %Kahmann83a \rhl{K} \refP Kahmann, J.; Continuity of curvature between adjacent Bezier patches; \CagdI; 65--75; %Kaifaz72 \rhl{K} \refJ Kaifaz, D.; Numerical integration by deficient splines; \PIEEE; 60; 1972; 1015--1016; %KailathGeeseyWeinert72 % 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; %KailathWeinert75 % 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; %KailathWeinert99 \rhl{K} \refJ Kailath, T., Weinert, H. L.; Recursive spline interpolation and least squares estimation; Annal.\ Math.\ Stat.; X; 19XX; XX; %Kaiser87 % larry \rhl{K} \refD Kaiser, Ulrich; Das Schoenberg'sche Approximationsproblem; Univ.\ Mannheim; 1987; % approximating density functions by integrals of B-splines. %Kaiser94a % hogan 14sep95 \rhl{K} \refB Kaiser, G.; A Friendly Guide to Wavelets; Birkh\"auser (Boston); 1994; %Kaishev89 % carl \rhl{K} \refJ Kaishev, V. K.; Optimal experimental designs for the B-spline regression; Comp.\ Stat.\ Data Anal.; 8; 1989; 39--47; %Kaishev91 % 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; %Kajiya82 \rhl{K} \refJ Kajiya, J. T.; Ray tracing parametric patches; Computer Graphics; 16; 1982; 245--254; %Kajiya83 \rhl{K} \refJ Kajiya, James T.; New techniques for ray tracing procedurally defined objects; Transactions on Graphics; 2; 1983; 161--181; %KaklisKaravelas95a % author 26oct95 \rhl{K} \refJ Kaklis, P. D., Karavelas, M. I.; Shape-preserving interpolation in $\RR^3$; \IMAJNA; xx; 1995; xxx--xxx; %KaklisPandelis90 % . 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 %KaklisSapidis94a % 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) %KaklisSapidis95a % 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; %Kaliaguine93 % . 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; %Kalik70 % 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; %Kalik71 % 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; %Kalik71b % larry \rhl{K} \refJ Kalik, C.; Les fonctionelles generatrices des fonctions spline; Studia Univ.\ B.--B. Cluj; 16; 1971; 61--64; %Kallay93 % . \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; %KallayRavani90 % 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; %KalninsMillerTratnik91 % . 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; %KamadaToraichiMori88 % carl \rhl{K} \refJ Kamada, Masaru, Toraichi, Kazuo, Mori, Ryoichi; Periodic spline orthonormal bases; \JAT; 55; 1988; 27--34; %KaminskiiMakarov80 \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; %KammererReddien72 % larry \rhl{K} \refJ Kammerer, W. J., Reddien, G. W.; Local convergence of smooth cubic spline interpolates; \SJNA; 9; 1972; 687--694; %KammererReddienVarga74 % larry \rhl{K} \refJ Kammerer, W. J., Reddien, G. W., Varga, R. S.; Quadratic interpolatory splines; \NM; 22; 1974; 241--259; %Kamont99 % carl 14may99 \rhl{K} \refJ Kamont, Anna; Weighted moduli of smoothness and spline spaces; \JAT; 98(1); 1999; 25--55; %KamontWolnik99 % carl 26aug98 \rhl{K} \refJ Kamont, A., Wolnik, B.; Wavelet expansions and fractal dimensions; \CA; 15(1); 1999; 97--108; %KanoEgerstedtNakataMartin03 % . 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; %Kansa90a % 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; %Kansa90b % 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; %KansaCarlson99 \rhl{K} \refR Kansa, E. J., Carlson, R. E.; Inproved accuracy of multiquadric interpolation using variable shape parameters; \CMA; to appear; %KaplanPapetti71 \rhl{K} \refJ Kaplan, M. A., Papetti, R. A.; A note on quadrilateral interpolation; \JACM; 18; 1971; 576--585; %KappelSalamon84 % . 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; %Kaps90 % Andreas Mueller 22may98 \rhl{K} \refD Kaps, M.; Teilfl\"achen einer Dupinschen Zyklide in B\'ezierdarstellung; TU Braunschweig; 1990; %KarciauskasKrasauskas00 % 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; %Karlin68 % larry \rhl{K} \refB Karlin, S.; Total Positivity; Stanford Univ.\ Press (Stanford); 1968; %Karlin71a % sherm \rhl{K} \refJ Karlin, S.; Best quadrature formulas and splines; \JAT; 4; 1971; 59--90; %Karlin71b % sonya \rhl{K} \refJ Karlin, S.; Total positivity, interpolation by splines, and Green's functions of differential operators; \JAT; 4; 1971; 91--112; %Karlin72 % larry \rhl{K} \refJ Karlin, S.; On a class of best nonlinear approximation problems; \BAMS; 78; 1972; 43--49; %Karlin73 % 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; %Karlin75b % 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; %Karlin76a % larry \rhl{K} \refP Karlin, S.; On a class of best nonlinear approximation problems and extended monosplines; \Karlin; 19--66; %Karlin76b \rhl{K} \refP Karlin, S.; A global improvement theorem for polynomial monosplines; \Karlin; 67--82; %Karlin76c \rhl{K} \refP Karlin, S.; Some one-sided numerical differentiation formulae and applications; \Karlin; 485--500; %Karlin76d \rhl{K} \refP Karlin, S.; Oscillatory perfect splines and related extremal problems; \Karlin; 371--460; %Karlin76e \rhl{K} \refP Karlin, S.; Generalized Markov Bernstein type inequalities for spline functions; \Karlin; 461--484; %KarlinKaron68 % sonya \rhl{K} \refJ Karlin, S., Karon, J. M.; A variation diminishing generalized spline approximation method; \JAT; 1; 1968; 255--268; %KarlinKaron70a % . 19may96 \rhl{K} \refJ Karlin, S., Karon, J. M.; A remark on B-splines; \JAT; 3; 1970; 455; %KarlinKaron72 % sonya \rhl{K} \refJ Karlin, S., Karon, J. M.; On Hermite-Birkhoff interpolation; \JAT; 6; 1972; 90--115; %KarlinKaron72b \rhl{K} \refJ Karlin, S., Karon, J. M.; Poised and non-poised Hermite-Birkhoff interpolation; \IUMJ; 21; 1972; 1131--1170; %KarlinLee70 % 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; %KarlinMicchelli72 \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; %KarlinMicchelliRinott85 \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; %KarlinMicchelliRinott86 % carl \rhl{K} \refJ Karlin, S., Micchelli, C. A., Rinott, Y.; Multivariate splines: a probabilistic perspective; J.\ Multivariate Anal.; 20; 1986; 69--90; %KarlinPinkus74 % 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; %KarlinPinkus76a \rhl{K} \refP Karlin, S., Pinkus, A.; Gaussian quadrature formulae with multiple nodes; \Karlin; 113--141; %KarlinPinkus76b \rhl{K} \refP Karlin, S., Pinkus, A.; An extremal property of multiple Gaussian nodes; \Karlin; 143--162; %KarlinPinkus76c \rhl{K} \refP Karlin, S., Pinkus, A.; Interpolation by splines with mixed boundary conditions; \Karlin; 305--325; %KarlinPinkus76d \rhl{K} \refP Karlin, S., Pinkus, A.; Divided differences and other non-linear existence problems at extremal points; \Karlin; 327--352; %KarlinRinott88 % 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; %KarlinSchumaker67a % 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; %KarlinSchumaker67b % larry \rhl{K} \refJ Karlin, S., Schumaker, L. L.; The fundamental theorem of Algebra for Tchebycheffian monosplines; \JAM; 20; 1967; 233--270; %KarlinStudden66 \rhl{K} \refB Karlin, S., Studden, W. J.; Tschebycheff Systems: With Applications in Analysis and Statistics; Interscience (New York); 1966; %KarlinZiegler66 % larry \rhl{K} \refJ Karlin, S., Ziegler, Z.; Chebyshevian spline functions; \SJNA; 3; 1966; 514--543; %KarlinZiegler70 % shayne 12mar97 \rhl{K} \refJ Karlin, S., Ziegler, Z.; Iteration of positive approximation operators; \JAT; 3; 1970; 310--339; %Karon69 \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; %Karon78 % 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; %Karweit80 \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; %Kashyap98 % larry Lai-Schumaker book \rhl{Kas98} \refJ Kashyap, P.; Geometric interpretation of continuity over triangular domains; \CAGD; 15; 1998; 773--786; %Kato00 % larry 20apr00 \rhl{} \refP Kato, Kiyotaka; N-sided surface generation from arbitrary boundary edges; \Stmalod; 173--182; %Katz77 \rhl{K} \refJ Katz, I. N.; Integration of triangular finite elements containing corrective rational functions; Internat.\ J. Numer.\ Meth.\ Engr.; 11; 1977; 107--114; %KaufmanTaylor75 % 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; %KaufmanTaylor94 % carl \rhl{K} \refJ Kaufman, E. H., Taylor, G. D.; Approximation and interpolation by convexity-preserving rational splines; \CA; 10(2); 1994; 275--283; %Kautsky70 % larry \rhl{K} \refJ Kautsky, J.; Optimal quadrature formulae and minimal monosplines in $L_q$; J. Austral.\ Math.\ Soc.; 11; 1970; 48--56; %Kawamura88 \rhl{K} \refR Kawamura, J. G.; Fast multidimensional interpolation; xx; 1988; %Kawamura88b \rhl{K} \refR Kawamura, J. G.; Precision multidimensional interpolation; xx; 1988; %Kawasaki94 % . 21jan02 \rhl{} \refJ Kawasaki, H.; A second-order property of spline functions with one free knot; \JAT; 78; 1994; 293--297; %Kays81 \rhl{K} \refJ Kays, R. G.; Cubic convolution interpolation for digital image processing; \ITPASSP; 29; 1981; 1153--1160; %Kayumov07 % 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; %KazakovDimitriadia77 % 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; %KaznoNinomiys78 \rhl{K} \refJ Kazno, H., Ninomiys, J.; An algorithm and error analysis of bivariate interpolating splines; Dzexo.\ Cepn.; 19; 1978; 196--203; %Keenan94 % . Keenan, P. T.; Mixed methods on quadrilaterals and hexahedra; \NA; 7; 1994; 269--293; %KeliskyRivlin67 % 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 %Kelley81 % . 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 %Kellogg28a % 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 %KennedyTobler83 % larry \rhl{K} \refJ Kennedy, S., Tobler, W. R.; Geographic Interpolation; Geograph.\ Anal.; 15; 1983; 151--156; %Keppel75 % larry \rhl{K} \refJ Keppel, E.; Approximating complex surfaces by triangulation of contour lines; IBM J. Res.\ Develop.; 19; 1975; 2--11; %Kergin78 % carl \rhl{K} \refD Kergin, P.; Interpolation of $C^k$ Functions; University of Toronto, Canada; 1978; %Kergin80 % sonya \rhl{K} \refJ Kergin, P.; A natural interpolation of $C^k$ functions; \JAT; 29(4); 1980; 278--293; %Kergosien94 % 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; %Kergosien97 % larry 10sep99 \rhl{K} \rhl{K} \refP Kergosien, Y. L.; Developable surfaces with creases; \ChamonixIIIa; 223--230; %KerigWatsonAT87 % . 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; %Kersey00 % author 26sep02 \rhl{K} \refJ Kersey, S.; Best near-interpolation by curves: existence; \SJNA; 38(5); 2000; 1666--1675; %Kersey04 % carlref 03apr06 \rhl{} \refP Kersey, Scott N.; Smoothing and near-interpolatory subdivision surfaces; \Seattle; 353--364; %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; %Kershaw69 % larry, carl \rhl{K} \refJ Kershaw, D.; The explicit inverses of two commonly occurring matrices; \MC; 23(105); 1969; 189--191; %Kershaw70 % carl \rhl{K} \refJ Kershaw, D.; Inequalities on the elements of the inverse of a certain tridiagonal matrix; \MC; 24(109); 1970; 155--158; %Kershaw71b % 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. %Kershaw72a \rhl{K} \refJ Kershaw, D.; The explicit factorization of two commonly occurring matrices; SIGNUM Newsletter; 7; 1972; 13; %Kershaw72b % 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. %Kershaw73 % 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. %Kershaw99 % sonya \rhl{K} \refJ Kershaw, D.; Uniform approximation by natural cubic splines; \JAT; X; 19XX; XX; %KhachanChenin00 % larry 20apr00 \rhl{} \refP Khachan, Mohammed, Chenin, Patrick; Advantages of topological tools in localization methods; \Stmalod; 183--192; %Khatamov82 \rhl{K} \refJ Khatamov, A.; Approximation spline des fonctions \`a derivee convex; \MaZ; 31; 1982; 877--887; %Kilberth73 \rhl{K} \refJ Kilberth, K.; Eine Randbedingung fur kubische Spline-funktionen; \C; 11; 1973; 59--67; %Kilberth74 \rhl{K} \refJ Kilberth, K.; \"Uber Typen von kubischen Spline-funktionen; \ZAMM; 54; 1974; 224--225; %Kilgore78 % . 6aug96 \rhl{K} \refJ Kilgore, T. A.; A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm; \JAT; 24; 1978; 273--288; %Kilgore84 % . 6aug96 \rhl{K} \refJ Kilgore, T. A.; Optimal interpolation with incomplete polynomials; \JAT; 41; 1984; 279--290; %Kilgore87 % . 6aug96 \rhl{K} \refJ Kilgore, T. A.; Optimal interpolation with polynomials having fixed roots; \JAT; 49; 1987; 378--389; %Kilgore91 % . 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; %KilgorePrestin96 % carl 6aug96 \rhl{K} \refJ Kilgore, T., Prestin, J.; Polynomial wavelets on the interval; \CA; 12(1); 1996; 95--110; %KilgoreZalik88 \rhl{K} \refR Kilgore, T., Zalik, R. A.; Extensions of endpoint equivalent and periodic Tchebycheff systems; Auburn; 1988; %KilgoreZalik88b \rhl{K} \refR Kilgore, T., Zalik, R. A.; Splicing of Markov and weak Markov systems; Auburn Univ.; 1988; %Kim92 % sherm, pagination \rhl{K} \refJ Kim, Dongsu; A combinatorial approach to biorthogonal polynomials; \SJDM; 5(3); 1992; 413--421; %KimHJAhnYJ00a % shayne \rhl{} \refJ Kim, H. J., Ahn, Y. J.; Good degree reduction of B\'ezier curves using Jacobi polynomials; \CMA; 40; 2000; 1205--1215; %KimSDParter95 % . 23jun03 \rhl{} \refJ Kim, S. D., Parter, S. V.; Preconditioning cubic spline collocation discretizations of elliptic equations; \NM; 72; 1995; 39--72; %KimchiDyn78a % 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. %KimchiRichterDyn79 % 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; %KimeldorfWahba70 % larry \rhl{K} \refJ Kimeldorf, G., Wahba, G.; Spline functions and stochastic processes; Sankhya; 32; 1970; 173--180; %KimeldorfWahba70b % larry \rhl{K} \refJ Kimeldorf, G., Wahba, G.; A correspondence between Bayesian estimation on stochastic processes and smoothing by splines; Ann.\ Math.\ Stat.; 41; 1970; 495--502; %KimeldorfWahba71 \rhl{K} \refJ Kimeldorf, G., Wahba, G.; Some results on Tchebycheffian splines functions; \JMAA; 33; 1971; 82--95; %KimmelAmirBruckstein94 % larry \rhl{K} \refP Kimmel, R., Amir, A., Bruckstein, A. M.; Finding shortest paths on surfaces; \ChamonixIIa; 259--268; %KimmelSethian00 % larry 20apr00 \rhl{} \refP Kimmel, Ron, Sethian, James A.; Fast Voronoi diagrams and offsets on triangulated surfaces; \Stmalod; 193--202; %KimmelSochenMalladi00 % larry 20apr00 \rhl{} \refP Kimmel, Ron, Sochen, Nir A., Malladi, Ravi; On the geometry of texture; \Stmalod; 203--212; %Kimn81 % larry \rhl{K} \refJ Kimn, H. J.; Numerical construction of cubic-quartic second order spline fits; J. Korean Math.\ Soc.; 17; 1981; 249--258; %Kimn81b % 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; %Kimn82 \rhl{K} \refJ Kimn, H. J.; Une characterisation de la fonction spline de lissage; Bull.\ Korean Math.\ Soc.; 19; 1982; 27--33; %KimnKim84 % 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; %Kindalev81 \rhl{K} \refJ Kindalev, B. S.; Asymptotic formulas for a fifth-degree spline and their applications (Russian); Vycisl.\ Sistemy; 87; 1981; 18--24; %Kioustelidis80 \rhl{K} \refJ Kioustelidis, J. B.; Optimal segmented approximations; \C; 24; 1980; 1--8; %Kioustelidis99 \rhl{K} \refR Kioustelidis, J. B.; Optimal segmented polynomial $L_s$ approximations; xx; 19xx; %Kirov80 \rhl{K} \refJ Kirov, G.; Some extremal problems for K-splines (Russian); Serdica; 6; 1980; 16--20; %Kirov92a % 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) %Kjellander83 % larry, carl \rhl{K} \refJ Kjellander, Johan A. P.; Smoothing of cubic parametric splines; \CAD; 15(3); 1983; 175--179; % oscillations, interactive smoothing. %Kjellander83b % 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. %KlappeneckerRotteler05 % shayne 03apr06 \rhl{} \refR Klappenecker, A., R\"otteler, M.; Mutually Unbiased Bases are Complex Projective $2$--designs; preprint; 2005; %Klass80 % carl \rhl{K} \refJ Klass, Reinhold; Correction of local surface irregularities using reflection lines; \CAD; 12(2); 1980; 73--77; %Klass83 % 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. %KlausNes67 \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; %Kleifeld94 % 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 %Klein94 % larry \rhl{K} \refP Klein, R.; Polygonalization of algebraic surfaces; \ChamonixIIa; 269--275; %Klimenko78 \rhl{K} \refJ Klimenko, N. S.; Smoothing by convex cubic splines (Russian); Akad.\ Nauk.\ Ukrain SSR.; 26; 1978; 3--10; %Klimenko80 \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; %Klucewicz77 \rhl{K} \refJ Klucewicz, I. M.; A piecewise $C^1$ interpolant to arbitrarily spaced data; Computer Graphics Image Proc.; 8; 1977; 92--112; %Knapp79 % larry \rhl{K} \refD Knapp, L; A design scheme using Coons surfaces with nonuniform B-spline curves; Syracuse University; 1979; %Knapp82 \rhl{K} \refJ Knapp, L.; A design scheme using Coons surfaces with nonuniform basis B-spline curves; Computers in Industry; 3; 1982; 53--68; %Knoop72 \rhl{K} \refD Knoop, H. B.; Zur mehrdimensionalen Hermite-Interpolation; Bochum; 1972; %Knoop74 % sonya \rhl{K} \refJ Knoop, H. B.; On Hermite interpolation in normed vector spaces; \JAT; 11; 1974; 327--337; %Knoop85 \rhl{K} \refP Knoop, H. B; Hermite-Fej\'er interpolation and higher Hermite-Fej\'er interpolation with boundary conditions; \MvatIII; 253--261; %KnudonNagy74 \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; %Kobbelt96 % carl 26aug99 \rhl{K} \refJ Kobbelt, L.; A variational approach to subdivision; \CAGD; 13; 1996; 743--761; %Kobbelt97 % carl 26aug99 \rhl{K} \refJ Kobbelt, L.; Stable evaluation of box splines; \NA; 14(4); 1997; 377--382; %KobbeltCampagnaVorsatzSeidel98 % 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; %Kobza00a % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Optimal quadratic splines on general knotset; \AUPOFRNM; 39; 2000; xxx; %Kobza00b % 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; %Kobza01 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Cubic splines with minimal norm; \AM; xxx; 2001; xxx; %Kobza87 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; \AUPOFRNM; \AM; 32; 1987; 401--413; %Kobza90 % author \rhl{K} \refJ Kobza, Ji\v{r}\'\i; Some properties of interpolating quadratic spline; Acta UPO, FRN; 97; 1990; 45--64; %Kobza91 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Quadratic splines interpolating derivatives; \AUPOFRNM; 30; 1991; 219--233; %Kobza92a % 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; %Kobza92b % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Quadratic splines smoothing the first derivatives; \AM; 37; 1992; 149--156; %Kobza92c % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Error estimates for quadratic spline interpolating derivatives; \AUPOFRNM; 31; 1992; 101--108; %Kobza93 % . 02feb01 \rhl{} \refR Kobza, J.; Splines in solving initial value problems; SANM, Cheb'93, 43--52; 1993; %Kobza95a % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Spline recurrences for quartic splines; \AUPOFRNM; 34; 1995; 75--89; %Kobza95b % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Some algorithms for computing local parameters of quartic splines; \AUPOFRNM; 34; 1995; 63--73; %Kobza95c % . 02feb01 \rhl{} \refR Kobza, J.; Quartic smoothing splines; Proc.SANM'95, 122--134; 1995; %Kobza95d % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Computing local parameters of biquartic interpolatory splines; \JCAM; 63; 1995; 229--236; %Kobza96a % . 02feb01 \rhl{} \refR Kobza, J.; Quartic interpolatory and smoothing splines; Proc.{} ICAOR'96, 275--286; 1996; %Kobza96b % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Quartic and biquartic interpolatory splines on simple grid; \AUPOFRNM; 35; 1996; 61--72; %Kobza96c % . 02feb01 \rhl{} \refR Kobza, J.; Mean values smoothing splines; Proc.{} ESES'96, 81--86; 1996; %Kobza97 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Local representations of quartic splines; \AUPOFRNM; 36; 1997; 63--78; %Kobza98 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Quartic local and quasilocal splines; Folia Fac.\ Sci.\ Natur.\ Univ.\ Purk.\ Brun.\ Math.; 7; 1998; 37--52; %Kobza99 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J.; Optimal polygonal interpolation; \AUPOFRNM; 38; 1999; 59--71; %KobzaBlagaMicula96 % 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; %KobzaKucera93 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J., Kucera, R.; Fundamental quadratic splines and applications; \AUPOFRNM; 32; 1993; 81--98; %KobzaMlcak94 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J., Mlcak, J.; Biquadratic splines interpolating mean values; \AM; 39; 1994; 339--356; %KobzaZapalka91 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J., Zapalka, D.; Natural and smoothing quadratic spline; \AM; 36; 1991; 187--204; %KobzaZencak97 % Kobza Jiri 02feb01 \rhl{} \refJ Kobza, J., Zencak, P.; Some algorithms for quartic smoothing splines; \AUPOFRNM; 36; 1997; 79--94; %KocChen93 % 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 %KocakPhillips94 % . \rhl{K} \refJ Ko\c{c}ak, Z., Phillips, G. M.; B-splines with geometric knot spacings; BIT; 34(3); 1994; 388--399; %KochK73 \rhl{K} \refJ Koch, K. R.; H\"oheninterpolation mittels gleitender Schr\"agebene und Pr\"a\-diktion; Mitteilungsblatt, Z\"urich; xxx; 1973; 292--232; %KochK73b % larry \rhl{K} \refJ Koch, K. R.; Digitales Gel\"andemodell und automatische Hohenlinien\-zeichnung; Z. Vermessungswesen; 8; 1973; 346--352; %KochKLauer71 \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; %KochP78 % larry \rhl{K} \refR Koch, P. E.; Error bounds for trigonometric spline interpolation; Thesis, Univ.\ Oslo; 1978; %KochP82 \rhl{K} \refR Koch, P. E.; Jackson theorems for generalized polynomials with special applications to trigonometric and hyperbolic functions; Oslo; 1982; %KochP82b \rhl{K} \refR Koch, P. E.; Collocation by $L$-splines at transformed Gaussian points; Univ.\ of Oslo; 1982; %KochP82c \rhl{K} \refD Koch, P. E.; Collocation by $L$-splines at Gaussian points; Univ.\ of Oslo; 1982; %KochP84a \rhl{K} \refP Koch, P. E.; Error bounds for interpolation by fourth order trigonometric splines; \Singh; 349--360; %KochP84b \rhl{K} \refR Koch, P. E.; Exponentially fitted collocation methods for singularly perturbed two-point boundary value problems; Oslo; 1984; %KochP85 \rhl{K} \refP Koch, P. E.; Jackson-type theorems for trigonometric polynomials and splines; \Szabados; 485--493; %KochP85b % 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; %KochP88 % sonya \rhl{K} \refJ Koch, P. E.; Multivariate trigonometric B-splines; \JAT; 54; 1988; 162--168; %KochP99 \rhl{K} \refR Koch, P. E.; Local trigonometric spline approximation; xxx; xxx; %KochPLyche80 % larry \rhl{K} \refP Koch, P. E., Lyche, T.; Bounds for the error in trigonometric Hermite interpolation; \BonnII; 185--196; %KochPLyche89 % 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; %KochPLyche90 % tom \rhl{K} \refP Koch, P. E., Lyche, T.; Exponential B-splines in tension; \TexasVI; 361--364; %KochPLyche91 % . 29apr97 \rhl{K} \refP Koch, P. E., Lyche, T.; Construction of exponential tension B-spline of arbitrary order; \ChamonixI; 255--258; %KochPLyche92a \rhl{K} \refR Koch, P. E., Lyche, T.; Calculating with exponential B-splines in tension; preprint; 1992; %KochPLyche92b % author \rhl{K} \refJ Koch, P. E., Lyche, T.; Interpolation with exponential B-splines in tension; \C\ Supplemts; 8; 1992; 173--190; %KochPLycheNeamtuSchumaker95 \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; %KochPWangK88a % 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; %KochanekBartels84 \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; %KochanekBartelsBooth82 \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; %Kochevar74 \rhl{K} \refJ Kochevar, P. D.; An application of multivariate B-splines to computer-aided geometrical design; \RMJM; 14; 1974; 159--175; %Kochevar82 \rhl{K} \refR Kochevar, P. D; A multidimensional analogue of Schoenberg's spline approximation method; Master's Thesis, Univ.\ Utah; 1982; %Kochevar84 \rhl{K} \refJ Kochevar, P.; An application of multivariate B-splines to computer-aided geometric design; \RMJM; 14; 1984; 159--175; %Kochurov95a % 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 %Kocsis77 \rhl{K} \refJ Kocsis, J.; An inventory model by spline approximation; Probl.\ of Control and Info.\ Th.\ Budapest; 6; 1977; 437--448; %KoellingWhitten73 \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; %Koenderink90 % carl 03dec99 \rhl{K} \refB Koenderink, Jan J.; Solid Shape; MIT Press (Cambridge MA); 1990; % unusual and very perceptive intro to shape %KohYWLeeSLTanHH95 % 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; %Kohler91a % shayne 26oct95 \rhl{K} \refJ K\"ohler, P.; Dual approximation methods and Peano kernels; Analysis; 11; 1991; 323--343; %Kohler94 % . 12mar97 \rhl{K} \refP K\"ohler, P.; Estimates for linear remainder functionals by the modulus of continuity; \Openproblems; xxx--xxx; %Kohler95 % 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 . %KohlerM99a % . \rhl{} \refJ Kohler, M.; Universally consistent regression function estimation using hierarchical B-splines; J. Multivar.\ Anal.; 68; 1999; 138--164; %KohlerNikolov95a % 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. %KohlerNikolov95b % carl 14sep95 \rhl{K} \refJ K\"ohler, Peter, Nikolov, Geno; Error bounds for optimal definite quadrature formulae; \JAT; 81(3); 1995; 397--405; %Kokhanovsky95 % . 24mar99 \rhl{K} \refJ Kokhanovsky, I. I.; Normal splines in computing tomography (Russian); Avtometriya; 2; 1995; 84--89; %KokkonisLeute96a % 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; %Kolmogorov39 % . 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 %Kolobov82 \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; %Kolodziej79 \rhl{K} \refR Kolodziej, A.; Konvergenzaussagen bei kubischen Interpolationssplines; Staatsexam, Mainz; 1979; %Kolzow85 \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; %Konig99 % shayne 03apr06 \rhl{} \refJ K\"onig, H.; Cubature formulas on spheres; Math.\ Res.; 107; 1999; 201--211; %Koornwinder75 % 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 %KoparkarMudur83 % 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. %Kopotun01 % author 02feb01 \rhl{} \refJ Kopotun, K. A.; Whitney theorem of interpolatory type for $k$-monotone functions; \CA; 17(2); 2001; 307--317; %Kopotun07 % . 05mar08 \rhl{K} \refJ Kopotun, Kirill; On equivalence of moduli of smoothness of splines in $L_p$, $0