2017
Том 69
№ 9

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Estimates for the approximate characteristics of the classes $B_{p, \theta}^{\Omega}$ of periodic functions of two variables with given majorant of mixed moduli of continuity

Konohrai A. F.

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Abstract

Order estimates are obtained for approximation $B_{p, \theta}^{\Omega}$ of the classes of periodic functions of two variables in the space $L_q$ by operators of orthogonal projection as well as by linear operators subjected to some conditions.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 2, pp 209-221.

Citation Example: Konohrai A. F. Estimates for the approximate characteristics of the classes $B_{p, \theta}^{\Omega}$ of periodic functions of two variables with given majorant of mixed moduli of continuity // Ukr. Mat. Zh. - 2011. - 63, № 2. - pp. 176-186.

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