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Kolmogorov widths of Sobolev classes on an irregular domain |
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| Authors: | O V Besov |
| Institution: | 16598. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia |
| Abstract: | We establish asymptotic estimates for the Kolmogorov widths of Sobolev classes W p s (K) in the metric of L q (K) for a power-law peak K ? ? d . These estimates are sharp in the order and coincide with order estimates for the unit cube. |
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