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Multivariate Approximation on Hardback by V. Temlyakov
Multivariate Approximation on Hardback by V. Temlyakov
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Multivariate Approximation

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Description

This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area.

Author Biography:

V. Temlyakov is Carolina Distinguished Professor in the Department of Mathematics at the University of South Carolina. He has written several books on approximation theory, and has received numerous honours and awards. His research interests include greedy approximation, compressed sensing, learning theory and numerical integration.
Release date NZ
July 19th, 2018
Author
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises; 12 Line drawings, black and white
Pages
550
Dimensions
178x253x34
ISBN-13
9781108428750
Product ID
27290184

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