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arXiv · 2505.08572

Entropy numbers of classes defined by integral operators

V. Temlyakov
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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.

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V. Temlyakov. 2025-07-12. Entropy numbers of classes defined by integral operators. https://arxiv.org/abs/2505.08572

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