Approximation of functions of many variables from the generalization Nikol'skii-Besov type classes in the uniform and integral metrics
| Autor: | Gromyak, M. I., Radchenko, O. Ya., Yanchenko, S. Ya. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We obtain the exact order estimates of the approximation of the functions of many variables from the generalized Nikol'skii-Besov classes $B^{\Omega}_{p,\theta}(\mathbb{R}^d)$ by sums of de la Vallee Poussin type in the metrics space $L_{\infty}(\mathbb{R}^d)$ and $L_{1}(\mathbb{R}^d)$. These classes of functions for some given $\Omega$ coincide with the well-known classical Nikol'skii-Besov isotropic classes. Comment: 18 pages, in Ukrainian |
| Databáze: | arXiv |
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