%Zafarullah1999 \rhl{Z} \refR Zafarullah, A.; Spline functions as approximate solutions of boundary value problems; Florida State Univ.; xx; %Zagar2002 % Emil Zagar 20jan03 \rhl{} \refJ {\v Z}agar, E.; On $G^2$ continuous spline interpolation of curves in $\RR^d$; \BIT; 42; 2002; 670--688; %ZairTosan1997 % larry 10sep99 \rhl{ZT} \refP Zair, C. E., Tosan, E.; Unified IFS-based model to generate smooth or fractal forms; \ChamonixIIIb; 345--354; %Zamani1981 \rhl{Z} \refJ Zamani, N. G.; A least square finite element method applied to B-splines; J. Franklin Inst.; 311; 1981; 195--208; %Zambardino1970 % larry \rhl{Z} \refJ Zambardino, R. A.; Algorithm 53. Decomposition of positive definite symmetric band matrices; \CJ; 13; 1970; 421--422; %Zang1981 \rhl{Z} \refJ Zang, G. C.; On the uniqueness and existence of cubic splines (Chinese); Math.\ Numer.\ Sinica; 3; 1981; 113--116; %ZangZMartin1997 % . 05mar08 \rhl{ZM} \refJ Zang, Z., Martin, C. F.; Convergence and Gibbs' phenomenon in cubic spline interpolation of discontinuous functions; \JCAM; 87; 1997; 359--371; %Zansykbaev1972 \rhl{Z} \refJ Zansykbaev, A. A.; On the approximation of periodic functions using parabolic splines; Sb.\ Sov.\ Probl.\ Summir.\ Pribl.\ Funk.\ i ih Prilozh Dnepropetrovsk; XX; 1972; 32--33; %Zansykbaev1973a \rhl{Z} \refJ Zansykbaev, A. A.; Sharp estimates for the uniform approximation of continuous periodic functions by $r$-th order splines; \MaZ; 13; 1973; 807--816; %Zansykbaev1974 \rhl{Z} \refJ Zansykbaev, A. A.; Approximation of certain classes of differentiable periodic functions by interpolatory splines in a uniform decomposition; \MaZ; 15; 1974; 955--966; %Zariski1971a \rhl{Z} \refB Zariski, O.; Algebraic Surfaces; Springer-Verlag, 2nd supplemented edition (xxx); 1971; %Zavialov1969 \rhl{Z} \refJ Zavialov, Y.\ S.; Interpolation with piecewise polynomial functions in one and two variables; Math.\ Probl.\ Geofiz.; 1; 1969; 125--141; %Zavialov1970 \rhl{Z} \refJ Zavialov, Yu.\ S.; An optimal property of bicubic spline functions and the problem of smoothing (Russian); Vycisl.\ Sistemy; 42; 1970; 109--158; %Zavialov1970b \rhl{Z} \refJ Zavialov, Yu.\ S.; Interpolation with bicubic splines; Vycisl.\ Sistemy; 38; 1970; 74--101; %Zavialov1970c \rhl{Z} \refJ Zavialov, Yu.\ S.; Interpolation with cubic splines; Vycisl.\ Sistemy; 38; 1970; 23--73; %Zavialov1973 % larry \rhl{Z} \refJ Zavialov, Yu.\ S.; Interpolating $L-$splines in several variables; \MaZ; 14; 1973; 11--20; %Zavialov1974 % larry \rhl{Z} \refJ Zavialov, Yu.\ S.; L-spline functions of several variables; Soviet Math.\ Dokl.; 15; 1974; 338--341; %Zavialov1974b % larry \rhl{Z} \refJ Zavialov, Yu.\ S.; Smoothing $L-$splines in several variables; \MaZ; 15; 1974; 371--379; %ZavialovKvasovMiroshnichenko1980 % . \rhl{Z} \refB Zavialov, Yu.\ S., Kvasov, B. I., Miroshnichenko, V. L.; Methods of Spline-Functions (Russian); Nauka (Moscow); 1980; %Zavjalov1970d \rhl{Z} \refJ Zavjalov, Yu.\ S.; An optimal property of cubic spline functions and the problem of smoothing; Vycisl.\ Sistemy; 42; l970; 89--108; %Zedek1985 % . \rhl{Z} \refD Zedek, F.; Interpolation sur un domaine carr\'e par des splines quadratiques \`a deux variables; Th\'ese de Doctorat 3\'eme cycle, Universit\'e de Lille; 1985; %Zedek1991 % carl \rhl{Z} \refP Zedek, Fatma; Lagrange interpolation by quadratic splines on a quadrilateral domain of $\RR^2$; \ChamonixI; 511--514; %Zeifang1997 % larry 10sep99 \rhl{Z} \rhl{Z} \refP Zeifang, R.; $G^2$ continuous G-splines: an interpolation property; \ChamonixIIIa; 473--480; %Zenisek1970 % larry \rhl{Z} \refJ \v{Z}eni\v{s}ek, A.; Interpolation polynomials on the triangle; \NM; 15; 1970; 283--296; %Zenisek1973 % sonya 23may95 \rhl{Z} \refJ \v{Z}eni\v{s}ek, Alexander; Polynomial approximation on tetrahedrons in the finite element method; \JAT; 7; 1973; 334--351; %Zenisek1973b % larry Lai-Schumaker book \rhl{Zen73b} \refQ \v{Z}eni\v{s}ek, Alexander; Hermite interpolation on simplexes and the finite element method; (Proc.~Equadiff III, Brno), xxx (ed.), xxx (xxx); 1973; 271--277; %Zenisek1974 \rhl{Z} \refJ \v{Z}eni\v{s}ek, A.; A general theorem on triangular $C^m$ elements; \RAN; 22; 1974; 119--127; %ZettlerHuffmanLinden1990 \rhl{Z} \refR Zettler, W. R., Huffman, J., Linden, D. C. P.; Application of compactly supported wavelets to image compression; Aware, Inc., Cambridge; xxx; %Zhan1994 % carl \rhl{Z} \refJ Zhan, Yinwei; A geometric feature for finite element schemes; \JATA; 10(2); 1994; 83--91; % any angle of the macro-triangle in a $C^m$-interpolation scheme to % $C^r$-vertex data must be divided into at least $(m+1)/(r+1-m)$ parts. %Zhang1980 \rhl{Z} \refJ Zhang, J. J.; A note on the bounds of second derivatives of cubic splines (Chinese); Math.\ Numer.\ Sinica; 2; 1980; 195--196; %Zhang1983 \rhl{Z} \refJ Zhang, J. J.; On some classes of interpolating splines; J. Math.\ Res.\ Expo.; 1; 1983; 135--136; %Zhang1989a \rhl{Z} \refJ Zhang, Zuo Shun; A multivariate cardinal interpolation problem; Chinese Annals of Mathematics.\ Series A; 10; 1989; 581--587; %Zhang1989b \rhl{Z} \refJ Zhang, Zuo Shun; A further discussion on dual bases of bivariate box splines; Chinese Journal of Numerical Mathematics and Applications; 11; 1989; 50--58; %ZhangHQ1983 % . \rhl{Z} \refQ Zhang, H. Q.; The generalized patch and 9-parameter quasi-conforming element; (Proc.\ China-France symposium on finite element methods), Feng Kang and J. L. Lions (eds.), Science Press, Gordon and Breach (xxx); 1983; 566--583; % nonconforming, FEM, multivariate, polynomial interpolation %ZhangJWKnoll1998 % carlrefs 20nov03 \rhl{} \refJ Zhang, Janwei, Knoll, Alois; Constructing fuzzy controllers with B-spline models -- principles and applications; Intern.\ J. Intel.\ Systems; 13; 1998; 257--285; %ZhangSL1988 \rhl{Z} \refJ Zhang, Shu-Ling; The relationship between box splines and multivariate truncated power functions; J.\ Northwest-Univ.\ (J. Northwest-Univ.\ Natural Sciences (Xibei Daxue Xuebao. Ziran Kexue Ban); 18; 1988; 55--57; %Zhanlav1981 \rhl{Z} \refJ Zhanlav, T.; Representation of interpolating cubic splines by B-splines (Russian); Vycisl.\ Systemi; 87; 1981; 3--10; %ZhaoCMohr1994 % larry \rhl{Z} \refP Zhao, C., Mohr, Roger; gB-spline patches for surface reconstruction in computer vision; \ChamonixIIb; 521--528; %ZhaoJP1982 % larry \rhl{Z} \refJ Zhao, J. P.; The multibody spline function I (Chinese); Acta Math.\ Appl.\ Sinica; 3; 1982; 225--233; %ZhaoK1992 % author \rhl{Z} \refJ Zhao, Kang; Global linear independence and finitely supported dual basis; \SJMA; 23; 1992; 1352--1355; %ZhaoK1993 % carl \rhl{Z} \refJ Zhao, Kang; Best interpolation with convex constraints; \JAT; 73(2); 1993; 119--135; %ZhaoK1994 % carl \rhl{Z} \refJ Zhao, Kang; Density of dilates of a shift-invariant subspace; \JMAA; 184(3); 1994; 517--532; %ZhaoK1995 % carl 23may95 \rhl{Z} \refJ Zhao, Kang; Simultaneous approximation from PSI spaces; \JAT; 81(2); 1995; 166--184; %ZhaoK1996a % carl 19may96 \rhl{Z} \refJ Zhao, Kang; Simultaneous approximation and quasi-interpolants; \JAT; 85(2); 1996; 201--217; %ZhaoK1996b % carl 6aug96 \rhl{Z} \refJ Zhao, Kang; Approximation from locally finite-dimensional shift-invariant spaces; \PAMS; 124(6); 1996; 1857--1867; %ZhaoKSunJ1988 % greg \rhl{Z} \refJ Zhao, Kang, Sun, J.; Dual bases of multivariate Bernstein-B\'ezier polynomials; \CAGD; 5; 1988; 119--125; %Zheludev1983 % larry \rhl{Z} \refJ Zheludev, V. A.; Asymptotic formulas for local spline approximation on a uniform mesh; Soviet Math.\ Dokl.; 27; 1983; 415--419; % Dokl.\ Akad.\ Nauk.\ SSSR: 269: 1983: 797--802: %Zheludev1985 % author 23jun03 \rhl{} \refJ Zheludev, V. A.; Local quasi-interpolating splines and Fourier transforms; Sov.\ Math.\ Doklady; 31; 1985; 573--577; %Zheludev1987 % author 23jun03 \rhl{} \refJ Zheludev, V. A.; Local spline approximation on a uniform grid; Comp.\ Math.\ Math.\ Phys.; 27; 1987; 8--19; %Zheludev1990a % larry \rhl{Z} \refJ Zheludev, V. A.; An operational calculus connected with periodic splines; Soviet Math.\ Dokl.; 42; 1990; 162--167; %Zheludev1990b % larry \rhl{Z} \refJ Zheludev, V. A.; Representation of the approximational error term and sharp estimates for some local splines; \MaZ; 48; 1990; 54--65; %Zheludev1990c \rhl{Z} \refJ Zheludev, V. A.; Spline-operational calculus and inverse problem for heat equations; Colloquia Math.\ Soc.\ J\'anos Bolyai; xx; 1990; 763--783; %Zheludev1991 % author 23jun03 \rhl{} \refJ Zheludev, V. A.; Local smoothing splines with a regularizing parameter; Comp.\ Math.\ Math.\ Phys.; 31; 1991; 11--25; %Zheludev1992a % carl 04mar10 \rhl{Z} \refJ Zheludev, Valery A.; Local splines of defect 1 on a uniform mesh; Siberian J. Comput.\ Math.; 1(2); 1992; 123--156; %Zheludev1992b % carl 04mar10 \rhl{Z} \refJ Zheludev, V. A.; Spline-operational calculus and numerical solution of convolution-type integral equations of the first kind; Differentsial'nye Uravneniya; 28(2); 1992; 316--329; % Plenum Press translation evailable % Colloquia Math.\ Soc.\ J\'anos Bolyai; xx; 1990; 763--783; %Zheludev1994 \rhl{Z} \refJ Zheludev, V. A.; Wavelets based on periodic splines; Soviet Math.\ Dokl.; xx; 1994; xx--xx; %Zheludev1998 % carl 24mar99 \rhl{Z} \refJ Zheludev, Valery A.; Integral representation of slowly growing equidistant splines; \ATA; 14(4); 1998; 66--88; % cardinal splines, univariate, Fourier-like %ZhengJJ1993 % larry 2/03 Lai-Schumaker book \rhl{Zhe93} \refJ Zheng, J. J.; The convexity of parametric B\'ezier triangular patches of degree 2; \CAGD; 10; 1993; 521--530; %Zhensykbaev1973 % carl \rhl{Z} \refJ Zhensykbaev, A. A.; Exact bounds for the uniform approximation of continuous periodic functions by $r$th order splines; Math.\ Notes; 13; 1973; 130--136; % tight arguments, based on little more than the fact that a p-periodic % cardinal spline cannot have more than $\floor{p/2}$ sign changes per period %Zhensykbaev1973a % author 5dec96 \rhl{Z} \refD Zhensykbaev, A. A.; Some questions of spline approximation in function spaces; Thesis, Dnepropetrovsk; 1973; %Zhensykbaev1989a \rhl{Z} \refJ Zhensykbaev, A. A.; Fundamental theorem of algebra for monosplines with multiple nodes; \JAT; 56; 1989; 121--133; %Zhensykbaev1993a % author 5dec96 \rhl{Z} \refJ Zhensykbaev, A. A.; Spline approximation and optimal recovery of operators (in Russian); \MS; 184(12); 1993; 3--22; %Zhou1990a % greg, juettler \rhl{Z} \refJ Zhou, C.-Z.; On the convexity of parametric B\'ezier triangular surfaces; \CAGD; 7; 1990; 459--463; %Zhou1994 % carl \rhl{Z} \refJ Zhou, S. P.; Simultaneous Lagrange interpolating approximation need not always be convergent; \CA; 10(1); 1994; 87--93; %Zhou1995 % . 03dec99 \rhl{Z} \refJ Zhou, D. X.; On smoothness characterized by Bernstein type operators; \JAT; 81(3); 1995; 303--315; %Zhou1996a % hogan 5dec96 \rhl{Z} \refJ Zhou, Ding-Xuan; Stability of refinable functions, multiresolution analysis, and Haar bases; \SJMA; 27(3); 1996; 891--904; %ZhouChangHe1984 % author 20jun97 \rhl{Z} \refJ Zhou, Y. S., Chang, Y. T., He, Tian-Xiao; On multivariate interpolations; Engineering Mathematics; 1; 1984; 12--16; % bivariate k-th degree polynomial interpolation is correct if the pointset % can be partitioned in such a way that the i-th part lies on a straight line % not through any of the other points. i.e., like Chung-Yao. %ZhouJetter1993 % carl \rhl{Z} \refR Zhou, Ding-Xuan, Jetter, K.; Characterization of correctness of cardinal interpolation with shifted three-directional box splines; ms; 1993; %ZhouLuXYaoWWangL1987 % larry \rhl{Z} \refJ Zhou, R., Lu, X., Yao, W., Wang, L.; A three dimensional CAD system based on multiple knot nonuniform B-spline method; Journal of Nanjing Aeronautical Institute; 1; 1987; 148--160; %Zhu1984 \rhl{Z} \refJ Zhu, An-Min; Multivariate spline functions; Tongji-Daxue-Xuebao (Tongji Daxue Xuebao.\ Journal of Tongji University); xx; 1984; 14--26; %ZhukNatanson1983 \rhl{Z} \refJ Zhuk, V. V., Natanson, G. I.; The inverse theorems of the constructive theory of functions for periodic equidistant splines (Russian); Vestnik Leningradsk.\ Univ.; 7; 1983; 11--16; %Ziegler1995 % larry Lai-Schumaker book \rhl{Zie95} \refB Ziegler, G. M.; Lectures on Polytopes; Springer-Verlag (Berlin); 1995; %Zielke1985 % larry \rhl{Z} \refJ Zielke, R.; Relative differentiability and integral representation of a class of weak Markov systems; \JAT; 44; 1985; 30--42; %Zimmermann2001 % shayne 21jan02 \rhl{} \refQ Zimmermann, G.; Normalized tight frames in finite dimensions ; (Recent Progress in Multivariate Approximation, ISNM 137), W. Haussmann and K. Jetter (eds.), Birkh\"auser (Basel); 2001; 249--252; %ZingerKirichuk1981 \rhl{Z} \refJ Zinger, V. Ye., Kirichuk, V. V.; Application of the multiquadric method of approximating irregular surfaces; Geodeziya Kartografiya i Aerofotos Yemka; 34; 1981; 29--34; %Zlamal1968 % carl \rhl{Z} \refJ Zl\'amal, Milo\v s; On the finite element method; \NM; 12; 1968; 394--409; %Zlamal1970 % carl \rhl{Z} \refJ Zl\'amal, Milo\v s; A finite element procedure of the second order of accuracy; \NM; 14; 1970; 394--402; %Zlamal1973 % carl \rhl{Z} \refJ Zl\'amal, Milo\v{s}; Curved elements in the finite element method. I; \SJNA; 10; 1973; 229--240; %Zlamal1973b % carl \rhl{Z} \refJ Zl\'amal, Milo\v{s}; Curved elements in the finite element method. II; \SJNA; 11; 1973; 347--362; %Zmatrakov1975a % . \rhl{Z} \refJ Zmatrakov, N. L.; ??? (Russian); Trudy Steklov Institute, Akad.\ Nauk SSSR; 138; 1975; 71--93; %Zmatrakov1977 \rhl{Z} \refJ Zmatrakov, N. L.; Uniform convergence of the third derivatives of interpolating cubic splines (Russian); Vycisl.\ Sistemy; 72; 1977; 10--29; %Zmatrakov1977b \rhl{Z} \refJ Zmatrakov, N. L.; Convergence of an interpolation process for parabolic and cubic splines; Proc.\ Steklov.\ Inst.\ Math.; 138; 1977; 75--99; %Zmatrakov1982 \rhl{Z} \refJ Zmatrakov, N. L.; Divergence of the third derivatives in interpolating cubic in $L_p$-metrices; \MaZ; 31; 1982; 707--722; %ZmatrakovSubbotin1983 % aleksei 22may98 \rhl{Z} \refJ Zmatrakov, N. L., Subbotin, Yu. N.; Multiple interpolating splines of degree $2k+1$ with deficiency $k+1$; Trudy MIAN; 164; 1983; xxx--xxx; % Engl.transl.: Proceedings of Steklov's Institute, ??? % includes exact bounds on the local mesh ratio to give boundedness of the % various projectors in $L_p$, including the ortho-projector. %Zo1987 \rhl{Z} \refP Z\'o, F.; On inequalities arising from best local approximations in rectangles; \Chile; 265--273; %Zo1999 \rhl{Z} \refR Zo, F.; Best local approximation on rectangles; xxx; xxx; %Zobin1995 % waldron 07may96 \rhl{Z} \refJ Zobin, N.; Whitney's problem: extendability of functions and intrinsic metric; \CRASP; 320; 1995; 781--786; % Whitney's extension theorem %Zong1996 % shayne 26aug98 \rhl{Z} \refB Zong, Chuanming; Strange phenomena in convex and discrete geometry; Springer-Verlag (New York); 1996; %Zorin1997 % . 26aug98 \rhl{Z} \refD Zorin, D.; Subdivision and multiresolution surface representations; Caltech; 1997; % careful handling of questions of continuity, including the right topology % on the domain. Similar to %Reif98 %Zorin2000 % . 26aug98 2dec02 \rhl{Z} \refJ Zorin, D.; Smoothness of stationary subdivision on irregular meshes; % Technical Report, Stanford U.: 1998: \CA; 16; 2000; 359--398; %Zwart1973 % larry \rhl{Z} \refJ Zwart, P. B.; Multivariate splines with non-degenerate partitions; \SJNA; 10; 1973; 665--673; %Zwick1984 % larry \rhl{Z} \refJ Zwick, D.; Some hereditary properties of WT-systems; \JAT; 41; 1984; 114--134; %Zwick1985 % larry \rhl{Z} \refJ Zwick, D.; The generalized convexity cone of splines with multiple knots; \NFAO; 8; 1985-86; 245--260; %Zwick1987 % larry \rhl{Z} \refJ Zwick, D.; Strong uniqueness of best spline approximation for a class of piecewise $n$-convex functions; \NFAO; 9; 1987; 371--379; %Zwick1987b % larry \rhl{Z} \refJ Zwick, D.; Best approximation by convex functions; \AMMo; 94; 1987; 528--534; %Zwick1999b \rhl{Z} \refR Zwick, D.; Extension of positive linear functionals: application to shape preserving interpolation; Univ.\ Vermont; xx; %Zwick1999c % larry \rhl{Z} \refJ Zwick, D.; Characterizing shape preserving $L_1$-approximation; \PAMS; 103; 1988; 1139--1146; %Zygmund1959 \rhl{Z} \refB Zygmund, A.; Trigonometric Series; Vol.\ I, 2nd ed., Cambridge University Press (Cambridge); 1959; %Zygmunt1999 % carl 24mar99 \rhl{Z} \refJ Zygmunt, M. J.; Recurrence formula for polynomials of two variables, orthogonal with respect to rotation invariant measures; \CA; 15; 1999; 301--309;