Hyperbolic cross approximation /: Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; editor for this volume: Sergey Tikhonov.

Dũng, Dinh,; Temlyakov, Vladimir,; Ullrich, Tino,; Tikhonov, Sergey,

doi:10.1007/978-3-319-92240-9

Hyperbolic cross approximation / Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; editor for this volume: Sergey Tikhonov.

Dũng, Dinh, author.; Temlyakov, Vladimir, 1953- author.; Ullrich, Tino, 1980- author.; Tikhonov, Sergey, 1976- editor.

2018

QA221

Available Online

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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

DOI

https://doi.org/10.1007/978-3-319-92240-9

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.

Series

Advanced courses in mathematics, CRM Barcelona, 2297-0304

Available in Other Form

Print version: 9783319922393