2019
Том 71
№ 11

All Issues

Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$

Romanyuk A. S.

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Abstract

We obtain order estimates for the approximation of the classes $B_ r^{p,θ}$ of periodic functions of many variables in the space $L_q$ by using operators of orthogonal projection and linear operators satisfying certain conditions.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 9, pp 1473–1482.

Citation Example: Romanyuk A. S. Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$ // Ukr. Mat. Zh. - 2001. - 53, № 9. - pp. 1224-1231.

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