Multivariate Approximation

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.

Download Now
Author
Publisher Cambridge University Press
Release Date
ISBN 1108608639
Pages pages
Rating 4/5 (33 users)

More Books:

Multivariate Approximation
Language: en
Pages:
Authors: V. Temlyakov
Categories: Mathematics
Type: BOOK - Published: 2018-07-31 - Publisher: Cambridge University Press

GET EBOOK

This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear appro
Multivariate Approximation Theory
Language: en
Pages: 74
Authors: E. W. Cheney
Categories: Mathematics
Type: BOOK - Published: 1986-01-01 - Publisher: SIAM

GET EBOOK

The approximation of functions of several variables continues to be a difficult problem in scientific computing because many of the algorithms required for such
Multivariate Approximation Theory III
Language: en
Pages: 400
Authors: SCHEMPP
Categories: Science
Type: BOOK - Published: 2013-03-07 - Publisher: Birkhäuser

GET EBOOK

The Fourth International Symposium on Multivariate Approximation Theory was held at the Oberwolfach Mathematical Research Insti tute, Black Forest, W.-Germany,
Multivariate Approximation Theory IV
Language: en
Pages: 342
Authors: CHUI
Categories: Science
Type: BOOK - Published: 2013-03-08 - Publisher: Birkhäuser

GET EBOOK

Multivariate Approximation Theory forms a rapidly evolving field in Applied Mathematics. The reason for its particular current interest lies in its impact on Co
Topics in Multivariate Approximation
Language: en
Pages: 346
Authors: C. K. Chui
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Elsevier

GET EBOOK

Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Sant
Multivariate Approximation and Applications
Language: en
Pages: 286
Authors: N. Dyn
Categories: Mathematics
Type: BOOK - Published: 2001-05-17 - Publisher: Cambridge University Press

GET EBOOK

Advanced introduction to multivariate approximation theory, suitable for researchers and graduate students.
Multivariate Approximation and Splines
Language: en
Pages: 326
Authors: Günther Nürnberger
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

GET EBOOK

This book contains the refereed papers which were presented at the interna tional conference on "Multivariate Approximation and Splines" held in Mannheim, Germa
Modern developments in multivariate approximation
Language: en
Pages: 319
Authors: Werner Haussmann
Categories: Mathematics
Type: BOOK - Published: 2003-10-24 - Publisher: Springer Science & Business Media

GET EBOOK

This volume contains a selection of eighteen peer-reviewed articles that were presented at the 5th International Conference on Multivariate Approximation, held
Multivariate Approximation for solving ODE and PDE
Language: en
Pages: 202
Authors: Clemente Cesarano
Categories: Mathematics
Type: BOOK - Published: 2020-12-07 - Publisher: MDPI

GET EBOOK

This book presents collective works published in the recent Special Issue (SI) entitled "Multivariate Approximation for Solving ODE and PDE". These papers descr
Recent Progress in Multivariate Approximation
Language: en
Pages: 265
Authors: Werner Haussmann
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

GET EBOOK

Nineteen contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application