Estimates of the orthogonal widths of the classes $B^{\Omega}_{\infty,\theta}$ of periodic functions of many variables with given majorant of the mixed moduli of continuity

Abstract

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