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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 2, Pages 30–39 (Mi ivm8772)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear approximation of functions from the class $L^r$ with respect to the Vilenkin system

M. G. Grigoryan, S. A. Sargsyan

Chair of Higher Mathematics, Erevan State University, Erevan, Republic of Armeniya
Full-text PDF (219 kB) Citations (1)
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Abstract: In this paper we prove that for any function $f$ from the class $L^r$ on $[0,1)$ one can find a function $g$ from the same class (which differs from $f$ on a set of arbitrarily small measure) whose greedy algorithm with respect to the Vilenkin system converges to $f$.
Keywords: Vilenkin system, greedy algorithm, Fourier coefficients.
Received: 23.12.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 2, Pages 25–33
DOI: https://doi.org/10.3103/S1066369X13020035
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: M. G. Grigoryan, S. A. Sargsyan, “Nonlinear approximation of functions from the class $L^r$ with respect to the Vilenkin system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2, 30–39; Russian Math. (Iz. VUZ), 57:2 (2013), 25–33
Citation in format AMSBIB
\Bibitem{GriSar13}
\by M.~G.~Grigoryan, S.~A.~Sargsyan
\paper Nonlinear approximation of functions from the class $L^r$ with respect to the Vilenkin system
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 2
\pages 30--39
\mathnet{http://mi.mathnet.ru/ivm8772}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 2
\pages 25--33
\crossref{https://doi.org/10.3103/S1066369X13020035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878413837}
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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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