Linear widths of classes $S_{p,\theta}^\Omega B$ of periodic functions of several variables

Abstract

Obtained here are the order estimates of linear widths of the classes $S_{p,\theta}^\Omega B$ of periodic functions of many variables in the space $L_q$ for $1<p\leq 2$, $p/{(p-1)}<q<\infty$ and $2\leq p<q<\infty$.