國立虎尾科技大學 |

Hyperbolic Cross Approximation

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Hyperbolic Cross Approximation/ by Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov.
作者:	Dũng, Dinh.
其他作者:	Temlyakov, Vladimir.
面頁冊數:	XI, 218 p. 24 illus., 11 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Approximation theory. -
電子資源:	https://doi.org/10.1007/978-3-319-92240-9
ISBN:	9783319922409

Hyperbolic Cross Approximation
Dũng, Dinh.

Hyperbolic Cross Approximation[electronic resource] /by Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov. - 1st ed. 2018. - XI, 218 p. 24 illus., 11 illus. in color.online resource. - Advanced Courses in Mathematics - CRM Barcelona,2297-0304. - Advanced Courses in Mathematics - CRM Barcelona,.

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.

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.

ISBN: 9783319922409

Standard No.: 10.1007/978-3-319-92240-9doiSubjects--Topical Terms:

527707
Approximation theory.

LC Class. No.: QA401-425

Dewey Class. No.: 511.4

Hyperbolic Cross Approximation
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