2019
Том 71
№ 11

All Issues

On Kolmogorov widths of classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q$

Romanyuk A. S.

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Abstract

We study the Kolmogorov widths of Besov classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q, 1 < q < ∞$. We also investigate the behavior of widths of such classes with critical indices of smoothness.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 1003-1015.

Citation Example: Romanyuk A. S. On Kolmogorov widths of classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q$ // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 915–926.

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