Entropy numbers and the widths of the classes $B_{p,θ}^r$ of periodic functionsof many variables
We establish the exact order estimates for the entropy numbers of the Nikol’skii – Besov classes of periodic functions of two variables in the space $L_\infty$ and use the obtained results in estimating the lower bounds for Kolmogorov, linear, and trigonometric widths. We also study the behavior of...
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| Date: | 2016 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1928 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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