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arXiv · 1301.7624

An inequality for the entropy numbers and its application

Vladimir Temlyakov
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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 $m$-term approximations with respect to a given system. Also, we obtain upper bounds for the $m$-term approximation by the Weak Relaxed Greedy Algorithm with respect to a system which is not a dictionary.

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Vladimir Temlyakov. 2013-01-31. An inequality for the entropy numbers and its application. https://arxiv.org/abs/1301.7624

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