2017
Том 69
№ 6

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Best approximation of periodic functions of several variables from the classes $MB^{\omega}_{p,\theta}$

Stasyuk S. A.

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Abstract

We obtain exact-order estimates for the best approximation of periodic functions of several variables from the classes $MB^{\omega}_{p,\theta}$ by trigonometric polynomials with the "numbers" of harmonics from graded hyperbolic crosses in the metric of the space $L_q$.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 1, pp 156-161.

Citation Example: Stasyuk S. A. Best approximation of periodic functions of several variables from the classes $MB^{\omega}_{p,\theta}$ // Ukr. Mat. Zh. - 2012. - 64, № 1. - pp. 140-144.

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