Widths of weighted Sobolev classes on a John domain

TL;DR

This paper derives estimates for Kolmogorov and linear widths of weighted Sobolev classes within John domains, advancing understanding of their approximation properties.

Contribution

It provides new estimates for widths of weighted Sobolev classes on John domains, a topic not extensively covered before.

Findings

Established bounds for Kolmogorov widths.

Derived estimates for linear widths.

Enhanced understanding of approximation in weighted Sobolev spaces.

Abstract

Estimates for Kolmogorov and linear widths of some weighted Sobolev classes on a John domain are obtained.