Multivariate approximation:
This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is di...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2018
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
32 |
| Links: | https://doi.org/10.1017/9781108689687 |
| Zusammenfassung: | This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area. |
| Umfang: | 1 Online-Ressource (xvi, 534 Seiten) |
| ISBN: | 9781108689687 |
Internformat
MARC
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| 100 | 1 | |a Temlyakov, Vladimir |d 1953- | |
| 245 | 1 | 0 | |a Multivariate approximation |c V. Temlyakov |
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| 520 | |a This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area. | ||
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| indexdate | 2025-03-03T11:58:02Z |
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| isbn | 9781108689687 |
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| spelling | Temlyakov, Vladimir 1953- Multivariate approximation V. Temlyakov Cambridge Cambridge University Press 2018 1 Online-Ressource (xvi, 534 Seiten) txt c cr Cambridge monographs on applied and computational mathematics 32 This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is directly related to deep problems in other areas of mathematics. For example, numerical integration of these classes is closely related to discrepancy theory and to nonlinear approximation with respect to special redundant dictionaries, and estimates of the entropy numbers of classes with mixed smoothness are closely related to (in some cases equivalent to) the Small Ball Problem from probability theory. The useful background material included in the book makes it accessible to graduate students. Researchers will find that the many open problems in the theory outlined in the book provide helpful directions and guidance for their own research in this exciting and active area. Erscheint auch als Druck-Ausgabe 9781108428750 |
| spellingShingle | Temlyakov, Vladimir 1953- Multivariate approximation |
| title | Multivariate approximation |
| title_auth | Multivariate approximation |
| title_exact_search | Multivariate approximation |
| title_full | Multivariate approximation V. Temlyakov |
| title_fullStr | Multivariate approximation V. Temlyakov |
| title_full_unstemmed | Multivariate approximation V. Temlyakov |
| title_short | Multivariate approximation |
| title_sort | multivariate approximation |
| work_keys_str_mv | AT temlyakovvladimir multivariateapproximation |