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Hyperbolic Cross Approximation - pr_233787

Hyperbolic Cross Approximation

By Dinh Dung, Vladimir Temlyakov, Tino Ullrich

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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.

Product code: 9783319922393

ISBN 9783319922393
Dimensions (HxWxD in mm) H240xW168
Series Advanced Courses in Mathematics - CRM Barcelona
No. Of Pages 218
Publisher Birkhauser Verlag AG
Edition 1st ed. 2018
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.