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Ukrainian Mathematical Bulletin

Volume 2, Issue 2, 2005  pp. 205-222.

Kolmogorov Widths of the Besov Classes $B^{\,r}_{p,{\,\theta}}$\\ in the Metric of the Space $L_{\infty}$

Authors Anatolii S. Romanyuk
Author institution: Institute of Mathematics National Academy of Sciences of Ukraine 3 Tereshchenkovskaya Str. 01601 Kiev, Ukraine

Summary:  We obtain order estimates for the Kolmogorov widths of the Besov classes $B^{\,r}_{p,{\,\theta}}$ of periodic functions of many variables in the uniform metric.


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