This article is cited in 2 papers

On the Coincidence of Pure Greedy and Best $m$-Term Approximations

K. S. Vishnevetskiy

Moscow Center for Fundamental and Applied Mathematics

Abstract: We obtain conditions on a dictionary in a Hilbert space that are necessary or sufficient for the coincidence of pure greedy and best $m$-term approximations.

Keywords: greedy approximation, $m$-term approximation, coherence parameter, Hilbert space.

UDC: 517.982.256

Received: 15.07.2021
Revised: 18.09.2021

DOI: 10.4213/mzm13224

 English version: Mathematical Notes, 2022, 111:2, 204–210

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