Hyperbolic cross approximation / Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; editor for this volume: Sergey Tikhonov.
2018
QA221
Linked e-resources
Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
Hyperbolic cross approximation / Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; editor for this volume: Sergey Tikhonov.
Author
Dũng, Dinh, author.
ISBN
9783319922409 (electronic book)
3319922408 (electronic book)
9783319922393
3319922394
3319922408 (electronic book)
9783319922393
3319922394
Published
Cham, Switzerland : Birkhäuser, 2018.
Language
English
Description
1 online resource (xi, 218 pages) : illustrations
Item Number
10.1007/978-3-319-92240-9 doi
Call Number
QA221
Dewey Decimal Classification
511/.4
Summary
This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. Multivariate problems have proven to be considerably more difficult than their univariate counterparts, and recent findings have established that multivariate mixed smoothness classes play a fundamental role in high-dimensional approximation. The book presents essential findings on and discussions of linear and nonlinear approximations of the mixed smoothness classes. Many of the important open problems explored here will provide both students and professionals with inspirations for further research.-- Provided by publisher.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 12, 2018).
Added Author
Temlyakov, Vladimir, 1953- author.
Ullrich, Tino, 1980- author.
Tikhonov, Sergey, 1976- editor.
Ullrich, Tino, 1980- author.
Tikhonov, Sergey, 1976- editor.
Series
Advanced courses in mathematics, CRM Barcelona, 2297-0304
Available in Other Form
Print version: 9783319922393
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources
Table of Contents
Introduction
Trigonometric polynomials
Function spaces on T^d
Linear approximation
Sampling recovery
Entropy numbers
Best m-term approximation
Numerical integration
Related problems
High-dimensional approximation
Appendix.
Trigonometric polynomials
Function spaces on T^d
Linear approximation
Sampling recovery
Entropy numbers
Best m-term approximation
Numerical integration
Related problems
High-dimensional approximation
Appendix.