Synopses & Reviews
Approximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Pade theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences.
Book News Annotation:
Papers from the May 1994 NATO-Advanced Study Institute present recent
developments in constructive multivariate approximation, theory of
splines, spline wavelets, polynomial and trigonometric wavelets, and
interpolation theory, and discuss applications in de-noising, signal
processing, and digital image processing. Research on the
approximation of functions highlights discoveries in quasi-
interpolation, radial basis functions, and knot removal for scattered
data. Includes discussion of the Pade and Liapunov theories.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Synopsis:
This text covers the latest developments in approximation theory, wavelets and applications. The topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation.