' This is the collection of the refereed and edited papers presented at the 8th Texas International Conference on Approximation Theory. It is interdisciplinary in nature and consists of two volumes. The central theme of Vol. I is the core of approximation theory. It includes such important areas as qualitative approximations, interpolation theory, rational approximations, radial-basis functions, and splines. The second volume focuses on topics related to wavelet analysis, including multiresolution and multi-level approximation, subdivision schemes in CAGD, and applications. Contents:Volume I:Differentiated Shift-Invariant Integral Operators (G A Anastassiou)Efficient Matrix Methods for the True Least-Squares Approximation of Structured Multivariate Data (I J Anderson & J C Mason)Vectorially Minimal Projections (A Bacopoulos & B L Chalmers)Error of an Arbitrary Order for the Approximate Solution of Systems of nth Order Differential Equations with Spline Functions (B S Badr et al)A Note on Irving Glicksberg''s Pseudocompactness Papers (J Blatter & H König)A Multivariate Divided Difference (C de Boor)Approximation Using Positive Definite Functions (E W Cheney)A Brief Glance at the Research of Ward Cheney (W Light)Ideas of Weighted Polynomial Approximation on (-∞,∞) (D S Lubinsky)Piecewise Convex Function Estimation and Model Selection (K S Riedel)Multivariate Interpolation and Approximation by Translates of a Basis Function (R Schaback)and other papersVolume II:A Wavelet-Like Unconditional Basis (K–F Chang)Multivariate Interpolating Wavelets (C K Chui & C Li)Nonlinear Wavelet Approximation and Image Compression (A Cohen)Wavelets and Interactive Surface Modeling (E Cornea et al)Multiscale Analysis, Approximation, and the Interpolation Spaces (W Dahmen)Using Fredholm Determinants to Estimate the Smoothness of Refinable Functions (I Daubechies)Stability and Independence of the Shifts of a Multivariate Refinable Function (T Hogan)Refinable Shift-Invariant Spaces: From Splines to Wavelets (R Q Jia)Weakly Singular Fredholm Integral Equations I: Singularity Preserving Wavelet-Galerkin Methods (C A Micchelli & Y–S Xu)and other papers Readership: Applied mathematicians. Keywords:Proceedings;Conference;Approximation Theory;College Station, TX (USA);Interpolation;Wavelets;Multilevel Approximation'
ISBN10 : 9789814549066 , ISBN13 : 9814549061
Page Number : 604