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Matematicheskie Zametki, 2022, Volume 111, Issue 2, Pages 202–210
DOI: https://doi.org/10.4213/mzm13224 (Mi mzm13224) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

K. S. Vishnevetskiy

Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.4213/mzm13224
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.
Funding agency Grant number
Russian Science Foundation 22-21-00415
This work was supported by the Russian Science Foundation under grant 22-21-00415.
Received: 15.07.2021
Revised: 18.09.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 2, Pages 204–210
DOI: https://doi.org/10.1134/S0001434622010230
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: K. S. Vishnevetskiy, “On the Coincidence of Pure Greedy and Best $m$-Term Approximations”, Mat. Zametki, 111:2 (2022), 202–210; Math. Notes, 111:2 (2022), 204–210
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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