Entropy numbers and Marcinkiewicz-type discretization theorem
Classical Analysis and ODEs
2020-01-30 v1
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.
Cite
@article{arxiv.2001.10636,
title = {Entropy numbers and Marcinkiewicz-type discretization theorem},
author = {F. Dai and A. Prymak and A. Shadrin and V. Temlyakov and S. Tikhonov},
journal= {arXiv preprint arXiv:2001.10636},
year = {2020}
}
Comments
27 pages