Optimal recovery of elements from Hilbert space and their scalar products by Fourier coefficients known with error
UDC 517.5 In a Hilbert space defined as the image of the unit ball under the action of a compact operator, we solve problems of optimal recovery of elements by their first $n$ Fourier coefficients given approximately.  Similar problems are also solved for scalar products of...
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| Datum: | 2020 |
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| Hauptverfasser: | , , , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1107 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.5
In a Hilbert space defined as the image of the unit ball under the action of a compact operator, we solve problems of optimal recovery of elements by their first $n$ Fourier coefficients given approximately.  Similar problems are also solved for scalar products of elements from two different classes. |
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| DOI: | 10.37863/umzh.v72i6.1107 |