Kolmogorov widths of an intersection of anisotropic finite-dimensional balls: case $2\le q_j<\infty$

Abstract

Order estimates for the Kolmogorov $n$-widths of ${\cap }_{\alpha \in A}{\nu }_{\alpha }{B}_{\overline{p}}^{\overline{k}}$ in $l_{\overline{q}}^{\overline{k}}$ are obtained; here $\overline{q}=(q_1,\dots ,q_d)$, $2\le q_j<\infty$, $j=1,\dots ,d$.