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Hyperbolic Cross Approximation / by Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov
(Advanced Courses in Mathematics - CRM Barcelona. ISSN:22970312)
版 | 1st ed. 2018. |
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出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2018 |
大きさ | XI, 218 p. 24 illus., 11 illus. in color : online resource |
著者標目 | *Dũng, Dinh author Temlyakov, Vladimir author Ullrich, Tino author Tikhonov, Sergey editor SpringerLink (Online service) |
件 名 | LCSH:Approximation theory LCSH:Numerical analysis FREE:Approximations and Expansions FREE:Numerical Analysis |
一般注記 | 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 HTTP:URL=https://doi.org/10.1007/978-3-319-92240-9 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319922409 |
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EB00197373 |
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