2019
Том 71
№ 10

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The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables

Romanyuk A. S.

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Abstract

The order estimates for the best trigonometric approximations and the Kolmogorov diameters of the classes $B^r_{p, \theta}$ of functions of many variables in the space $L_q$ are obtained for certain values of the parameters $p, q$.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 5, pp 724-738.

Citation Example: Romanyuk A. S. The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables // Ukr. Mat. Zh. - 1993. - 45, № 5. - pp. 663–675.

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