Entropy numbers of classes defined by integral operators
Numerical Analysis
2025-07-15 v2 Numerical Analysis
Functional Analysis
Abstract
In this paper we develop the following general approach. We study asymptotic behavior of the entropy numbers not for an individual smoothness class, how it is usually done, but for the collection of classes, which are defined by integral operators with kernels coming from a given class of functions. Earlier, such approach was realized for the Kolmogorov widths.
Keywords
Cite
@article{arxiv.2505.08572,
title = {Entropy numbers of classes defined by integral operators},
author = {V. Temlyakov},
journal= {arXiv preprint arXiv:2505.08572},
year = {2025}
}