Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative
UDC 517.51 We establish exact order estimates for approximations of the Sobolev classes $W^{\boldsymbol{r}}_{p,\boldsymbol{\alpha}}(\mathbb{T}^d)$ of periodic functions of many variables with bounded dominant mixed derivative. The approximation is performed by using trigonometric polyno...
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| Date: | 2024 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8307 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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