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181201 ||| eng |
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|a 9783319922409
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| 100 |
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|a Dũng, Dinh
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| 245 |
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|a Hyperbolic Cross Approximation
|h Elektronische Ressource
|c by Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov
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| 250 |
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|a 1st ed. 2018
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2018, 2018
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| 300 |
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|a XI, 218 p. 24 illus., 11 illus. in color
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Approximations and Expansions
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| 653 |
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|a Numerical analysis
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| 653 |
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|a Numerical Analysis
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| 653 |
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|a Approximation theory
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| 700 |
1 |
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|a Temlyakov, Vladimir
|e [author]
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| 700 |
1 |
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|a Ullrich, Tino
|e [author]
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| 700 |
1 |
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|a Tikhonov, Sergey
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Advanced Courses in Mathematics - CRM Barcelona
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-319-92240-9?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 511.4
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| 520 |
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|a 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
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