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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 68–74 (Mi ivm7305)  
This article is cited in 3 scientific papers (total in 3 papers)

Functional conditions for the convergence of Fourier series with respect to general orthonormal systems

V. Sh. Tsagareishvili

Tbilisi State University, Tbilisi, Republic of Georgia
Full-text PDF (163 kB) Citations (3)
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Abstract: In this paper we establish some functional conditions for the convergence of the Fourier series for functions from the class $C(0,1)$ with respect to general orthonormal systems.
Keywords: orthonormal system, Fourier series, Fourier coefficients, modulus of continuity.
Received: 10.11.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 56–62
DOI: https://doi.org/10.3103/S1066369X11050094
Bibliographic databases:
Document Type: Article
UDC: 517.521
Language: Russian
Citation: V. Sh. Tsagareishvili, “Functional conditions for the convergence of Fourier series with respect to general orthonormal systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 68–74; Russian Math. (Iz. VUZ), 55:5 (2011), 56–62
Citation in format AMSBIB
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\by V.~Sh.~Tsagareishvili
\paper Functional conditions for the convergence of Fourier series with respect to general orthonormal systems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 68--74
\mathnet{http://mi.mathnet.ru/ivm7305}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920091}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 56--62
\crossref{https://doi.org/10.3103/S1066369X11050094}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051619627}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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