Kolmogorov widths of intersections of finite-dimensional balls

In the present paper, order estimates for the nth Kolmogorov widths of the intersection of homothetic copies of the unit balls nu B-alpha(pa)N in l(q)(N) are obtained for n <= N/2. This result for n = N/2 was obtained by Galeev in 1981. (C) 2022 Elsevier Inc. All rights reserved.

Automated summary

This paper provides order estimates for the nth Kolmogorov widths of the intersection of homothetic copies of the unit balls vB-alpha(pa)N in l(q)(N), where n <= N/2. This result for n = N/2 was obtained by Galeev in 1981.