An inequality for the entropy numbers and its application
Metric Geometry
2013-02-01 v1 Functional Analysis
Abstract
We prove an inequality for the entropy numbers in terms of nonlinear Kolmogorov's widths. This inequality is in a spirit of known inequalities of this type and it is adjusted to the form convenient in applications for -term approximations with respect to a given system. Also, we obtain upper bounds for the -term approximation by the Weak Relaxed Greedy Algorithm with respect to a system which is not a dictionary.
Cite
@article{arxiv.1301.7624,
title = {An inequality for the entropy numbers and its application},
author = {Vladimir Temlyakov},
journal= {arXiv preprint arXiv:1301.7624},
year = {2013}
}