Multivariate splines: a probabilistic perspective

On donne des definitions de base et des resultats concernant les splines univariables et multivariables. On decrit leurs applications a l'interpolation polynomiale

[1]  Charles A Micchelli,et al.  A Constructive Approach to Kergin Interpolation in R(k). , 1978 .

[2]  Charles A. Micchelli On an optimal method for the numerical differentiation of smooth functions , 1976 .

[3]  I. W. Wright Splines in Statistics , 1983 .

[4]  S. Gupta,et al.  Brunn-Minkowski inequality and its aftermath , 1980 .

[5]  Wolfgang Dahmen,et al.  On limits of multivariateB-splines , 1981 .

[6]  Klaus Höllig,et al.  Recurrence Relations for Multivariate B-Splines. , 1982 .

[7]  C. Micchelli,et al.  On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids , 1982 .

[8]  Optimal Estimation of Smooth Functions from Inaccurate Data , 1979 .

[9]  C. Micchelli On a numerically efficient method for computing multivariate B-splines , 1979 .

[10]  Wolfgang Dahmen,et al.  On Multivariate B-Splines , 1980 .

[11]  Samuel Karlin,et al.  COMPARISON OF MEASURES, MULTIVARIATE MAJORIZATION, AND APPLICATIONS TO STATISTICS , 1983 .

[12]  Charles A. Micchelli,et al.  Multivariate interpolation and the Radon transform , 1980 .

[13]  I. J. Schoenberg,et al.  On Pólya frequency functions IV: The fundamental spline functions and their limits , 1966 .

[14]  G. S. Watson,et al.  ON THE JOINT DISTRIBUTION OF THE CIRCULAR SERIAL CORRELATION COEFFICIENTS , 1956 .

[15]  Y. Rinott On Convexity of Measures , 1976 .

[16]  C. Micchelli,et al.  Recent Progress in multivariate splines , 1983 .

[17]  C. Borell Convex set functions ind-space , 1975 .

[18]  Samuel Karlin,et al.  Best quadrature formulas and splines , 1971 .

[19]  Samuel Karlin,et al.  Interpolation properties of generalized perfect splines and the solutions of certain extremal problems. I , 1975 .

[20]  C. D. Boor,et al.  Splines as linear combinations of B-splines. A Survey , 1976 .

[21]  S. Karlin,et al.  Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions , 1980 .

[22]  Paul Kergin,et al.  A natural interpolation of Ck functions , 1980 .

[23]  Hakop Hakopian,et al.  Multivariate Spline Functions, B-Spline Basis and Polynomial Interpolations , 1982 .

[24]  I. J. Schoenberg On Polya frequency functions , 1951 .

[25]  Wolfgang Dahmen,et al.  Computation of inner products of multivariate B-splines , 1981 .