ENGLISH

Approximation Theory, Wavelets and Applications

Book information

Publisher
Springer Netherlands
Year
1995
ISBN
978-90-481-4516-4, 978-94-015-8577-4
DOI
10.1007/978-94-015-8577-4
Language
english
Format
PDF
Filesize
15 MB (15402813 bytes)
Series
NATO Science Series 454
Edition
1
Pages
572\579
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00

Description

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 Padé 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.

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