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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 5, Pages 63–69
DOI: https://doi.org/10.26907/0021-3446-2019-5-63-69 (Mi ivm9464) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Faber–Schauder coefficients of continuous functions and divergence of greedy algorighms

A. A. Sargsyan

Russian-Armenian University, 123 Hovsep Emin str., Yerevan, 0051 Armenia
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DOI: https://doi.org/10.26907/0021-3446-2019-5-63-69
Abstract: We consider relationship between the rate of convergence to zero of the Faber–Schauder coefficients of continuous functions and the behavior of the greedy algorithm. We construct a continuous function $f$ with Faber–Schauder coefficients $|A_n (f)|=O(\log^{-1} n)$ and divergent greedy algorithm.
Keywords: greedy algorithm, Faber–Schauder system, coefficients of expansion, uniform convergence.
Received: 22.03.2018
Revised: 18.07.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 5, Pages 57–62
DOI: https://doi.org/10.3103/S1066369X19050062
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: A. A. Sargsyan, “On Faber–Schauder coefficients of continuous functions and divergence of greedy algorighms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5, 63–69; Russian Math. (Iz. VUZ), 63:5 (2019), 57–62
Citation in format AMSBIB
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\by A.~A.~Sargsyan
\paper On Faber--Schauder coefficients of continuous functions and divergence of greedy algorighms
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 5
\pages 63--69
\mathnet{http://mi.mathnet.ru/ivm9464}
\crossref{https://doi.org/10.26907/0021-3446-2019-5-63-69}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2019
\vol 63
\issue 5
\pages 57--62
\crossref{https://doi.org/10.3103/S1066369X19050062}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000479071100006}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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