Estimations of linear widths of the classes $H_p^\Omega$ periodic functions of many variables in the space $L_q$

Abstract

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