Estimates for approximation characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables with a given majorant of the mixed moduli of continuity

Abstract

We obtain order estimates of approximation of classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables in the space $L_q$ by using operators of orthogonal projection as well as linear operators subjected to some conditions.