Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators
We obtain the exact-order estimates for the best bilinear approximations of the Nikol‘ski–Besov classes $B^r_{p,\theta}$ of periodic functions of several variables. We also find the orders for singular numbers of the integral operators with kernels from the classes $B^r_{p,\theta}$.
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| Datum: | 2016 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1917 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We obtain the exact-order estimates for the best bilinear approximations of the Nikol‘ski–Besov classes $B^r_{p,\theta}$ of periodic
functions of several variables. We also find the orders for singular numbers of the integral operators with kernels from the
classes $B^r_{p,\theta}$. |
|---|