Bibliograph

Hyperbolic Cross Approximation, by Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov

Type

Label

Hyperbolic Cross Approximation, by Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Hyperbolic Cross Approximation

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

1062391850

Responsibility statement

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

Series statement

Advanced Courses in Mathematics - CRM Barcelona,, 2297-0304Springer eBooksSpringer eBooks.

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

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

Contributor

Creator