2019
Том 71
№ 11

# Approximation characteristics of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables

Abstract

We obtain exact order estimates for the approximation of the classes $B_{p,θ}^{Ω}$ 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 58 (2006), no. 5, pp 779-793.

Citation Example: Fedunyk O. V., Stasyuk S. A. Approximation characteristics of the classes $B_{p,θ}^{Ω}$ of periodic functions of many variables // Ukr. Mat. Zh. - 2006. - 58, № 5. - pp. 692–704.

Full text