Approximation Theory IX: Volume I: Theoretical Aspects (Vol 1): Charles Chui, Larry L. Schumaker

This meticulously edited selection of papers comes out of the Ninth International Symposium on Approximation Theory held in Nashville, Tennessee, in January, 1998. Each volume contains several invited survey papers written by experts in the field, along with contributed research papers.This book should be of great interest to mathematicians, engineers, and computer scientists working in approximation theory, wavelets, computer-aided geometric design (CAGD), and numerical analysis.Among the topics included in the books are the following:adaptive approximation
approximation by harmonic functions
approximation by radial basis functions
approximation by ridge functions
approximation in the complex plane
Bernstein polynomials
bivariate splines
constructions of multiresolution analyses
convex approximation
frames and frame bases
Fourier methods generalized moduli of smoothness
interpolation and approximation by splines on triangulations
multiwavelet bases
neural networks
nonlinear approximation
quadrature and cubature
rational approximation
refinable functions
subdivision schemes
thin plate splines
wavelets and wavelet systems