TY  - BOOK
AU  - Cheney,E.W.
AU  - Light,W.A.
ED  - American Mathematical Society.
TI  - A course in approximation theory
T2  - Graduate studies in mathematics
SN  - 9780821847985
AV  - QA221 .C44 2009
PY  - 2009///?]
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Approximation theory
KW  - Textbooks
N1  - Originally published: Pacific Grove : Brooks/Cole Pub. Company, c2000; Includes bibliographical references (pages 327-354) and indexes; Contents; Ch. 1	Introductory Discussion of Interpolation	; Ch. 2	Linear Interpolation Operators	; Ch. 3	Optimization of the Lagrange Operator	; Ch. 4	Multivariate Polynomials	; Ch. 5	Moving the Nodes	; Ch. 6	Projections	; Ch. 7	Tensor-Product Interpolation	; Ch. 8	The Boolean Algebra of Projections	; Ch. 9	The Newton Paradigm for Interpolation	; Ch. 10	The Lagrange Paradigm for Interpolation	; Ch. 11	Interpolation by Translates of a Single Function	; Ch. 12	Positive Definite Functions	; Ch. 13	Strictly Positive Definite Functions	; Ch. 14	Completely Monotone Functions	; Ch. 15	The Schoenberg Interpolation Theorem	; Ch. 16	The Micchelli Interpolation Theorem	; Ch. 17	Positive Definite Functions on Spheres	; Ch. 18	Approximation by Positive Definite Functions	; Ch. 19	Approximate Reconstruction of Functions and Tomography	; Ch. 20	Approximation by Convolution	; Ch. 21	The Good Kernels	; Ch. 22	Ridge Functions	; Ch. 23	Ridge Function Approximation via Convolutions	; Ch. 24	Density of Ridge Functions	; Ch. 25	Artificial Neural Networks	; Ch. 26	Chebyshev Centers	; Ch. 27	Optimal Reconstruction of Functions	; Ch. 28	Algorithmic Orthogonal Projections	; Ch. 29	Cardinal B-Splines and the Sinc Function	; Ch. 30	The Golomb-Weinberger Theory	; Ch. 31	Hilbert Function Spaces and Reproducing Kernels	; Ch. 32	Spherical Thin-Plate Splines	; Ch. 33	Box Splines	; Ch. 34	Wavelets, I	; Ch. 35	Wavelets, II	; Ch. 36	Quasi-Interpolation	;  	Bibliography	;  	Index	;  	Index of Symbols
ER  -