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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 3, Pages 48–51 (Mi ivm6711)  
This article is cited in 2 scientific papers (total in 2 papers)

The nature of convergence of the Fourier series for functions of bounded variation

S. A. Telyakovskii

Chair of Mathematical Analysis, Moscow State University, Moscow, Russia
Full-text PDF (131 kB) Citations (2)
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Abstract: We study increasing sequences of positive integers that divide the Fourier series of functions of bounded variation into blocks of absolutely convergent series. We obtain a new version of the stability theorem for such sequences.
Keywords: Fourier series, functions of bounded variation, absolute convergence.
Received: 27.11.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 3, Pages 42–44
DOI: https://doi.org/10.3103/S1066369X10030072
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: S. A. Telyakovskii, “The nature of convergence of the Fourier series for functions of bounded variation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3, 48–51; Russian Math. (Iz. VUZ), 54:3 (2010), 42–44
Citation in format AMSBIB
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\jour Russian Math. (Iz. VUZ)
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    • This publication is cited in the following 2 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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