Estimates for the Kolmogorov widths of weighted Sobolev classes with conditions on the $0$th and the greatest derivatives

Abstract

In this article, we obtain the order estimates for the Kolmogorov widths of sets with conditions on the norm in the weighted Sobolev space $W_{p_1}^r$ and in the weighted space $L_{p_0}$.

References in corpus (2)

• Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order r and zero
• Kolmogorov widths of the intersection of two finite-dimensional balls