Hyperbolic Cross Approximation
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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing,
2018.
|
| Edition: | 1st ed. 2018. |
| Series: | Advanced Courses in Mathematics - CRM Barcelona,
|
| Subjects: | |
| ISBN: | 9783319922409 |
| ISSN: | 2297-0304 |
| Online Access: |
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| 020 | |a 9783319922409 | ||
| 024 | 7 | |a 10.1007/978-3-319-92240-9 |2 doi | |
| 035 | |a CVTIDW10174 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Dũng, Dinh. |4 aut | |
| 245 | 1 | 0 | |a Hyperbolic Cross Approximation |h [electronic resource] / |c by Dinh Dũng, Vladimir Temlyakov, Tino Ullrich ; edited by Sergey Tikhonov. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XI, 218 p. 24 illus., 11 illus. in color. |b online resource. | ||
| 490 | 1 | |a Advanced Courses in Mathematics - CRM Barcelona, |x 2297-0304 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |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. | |
| 516 | |a text file PDF | ||
| 520 | |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. | ||
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Numerical analysis. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-92240-9 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE07454 | ||
| 919 | |a 978-3-319-92240-9 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 276331 |d 276331 | ||