Estimates of some approximating characteristics of the classes of periodic functions of one and many variables

Abstract

UDC 517.5
We obtain the exact-order estimates for some approximating characteristics of the classes $\mathbb{W}^{\boldsymbol{r}}_{p,\boldsymbol{\alpha}}$ and $\mathbb{B}^{\boldsymbol{r}}_{p,\theta}$ of periodic functions of one and many variables in the norm of the space $B_{\infty, 1}.$