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arXiv · 2001.10636

Entropy numbers and Marcinkiewicz-type discretization theorem

F. Dai·A. Prymak·A. Shadrin·V. Temlyakov·S. Tikhonov
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Abstract

This paper studies the behavior of the entropy numbers of classes of functions with bounded integral norms from a given finite dimensional linear subspace. Upper bounds of these entropy numbers in the uniform norm are obtained and applied to establish a Marcinkiewicz type discretization theorem for integral norms of functions from a given finite dimensional subspace.

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F. Dai, A. Prymak, A. Shadrin, V. Temlyakov, S. Tikhonov. 2020-01-28. Entropy numbers and Marcinkiewicz-type discretization theorem. https://arxiv.org/abs/2001.10636

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