Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin
A.A. Vasil'eva
TL;DR
This paper provides asymptotic estimates for Kolmogorov and linear widths of weighted Besov classes with singularity at the origin, and also estimates for finite-dimensional balls in mixed norms.
Contribution
It introduces new asymptotic estimates for widths of weighted Besov classes with singularities and for finite-dimensional mixed norm balls.
Findings
Asymptotic estimates for Kolmogorov widths of weighted Besov classes
Asymptotic estimates for linear widths of weighted Besov classes
Estimates for widths of finite-dimensional balls in mixed norms
Abstract
In this paper we obtain asymptotic estimates of Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin. In addition, estimates of Kolmogorov and linear widths of finite-dimensional balls in a mixed norm are obtained.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Approximation and Integration · Geometric Analysis and Curvature Flows