2017
Том 69
№ 9

All Issues

Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$

Solich K. V.

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Abstract

We obtain exact-order estimates for the Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$ for $1 ≤ p, q ≤ ∞$.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 10, pp 1610-1620.

Citation Example: Solich K. V. Kolmogorov widths of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables in the space $L_q$ // Ukr. Mat. Zh. - 2012. - 64, № 10. - pp. 1416-1425.

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