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Sbornik: Mathematics, 2007, Volume 198, Issue 6, Pages 777–791
DOI: https://doi.org/10.1070/SM2007v198n06ABEH003860 (Mi sm2420) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Refinement of the Dirichlet–Jordan and Young's theorems on Fourier series of functions of bounded variation

A. S. Belova, S. A. Telyakovskiib

a Ivanovo State University
b Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (262 kB) Citations (13) Russian version article
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DOI: https://doi.org/10.1070/SM2007v198n06ABEH003860
Abstract: Necessary and sufficient conditions on an increasing sequence of positive integers $\{n_j\}$ ensuring that the Fourier series of a function of bounded variation has uniformly bounded sums of the absolute values of the blocks of terms with harmonics from $n_j$ to $n_{j+1}-1$ are established.
Bibliography: 9 titles.
Received: 27.07.2006 and 20.10.2006
Bibliographic databases:
Document Type: Article
UDC: 517.518.45
MSC: 42A20, 26A45
Language: English
Original paper language: Russian
Citation: A. S. Belov, S. A. Telyakovskii, “Refinement of the Dirichlet–Jordan and Young's theorems on Fourier series of functions of bounded variation”, Sb. Math., 198:6 (2007), 777–791
Citation in format AMSBIB
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\by A.~S.~Belov, S.~A.~Telyakovskii
\paper Refinement of the Dirichlet--Jordan and Young's
theorems on Fourier series of functions of bounded variation
\jour Sb. Math.
\yr 2007
\vol 198
\issue 6
\pages 777--791
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  • https://doi.org/10.1070/SM2007v198n06ABEH003860
  • https://www.mathnet.ru/eng/sm/v198/i6/p25
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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