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Matematicheskie Zametki, 1974, Volume 15, Issue 3, Pages 363–370 (Mi mzm7356)  
This article is cited in 7 scientific papers (total in 7 papers)

Absolute convergence of Fourier series with respect to bounded systems

S. V. Bochkarev

Steklov Mathematical Institute, Academy of Sciences of the USSR
Full-text PDF (400 kB) Citations (7)
Abstract: In this paper we prove that for the piecewise-linear unit jump approximation the sum of the moduli of the Fourier coefficients with respect to an arbitrary complete orthonormal system, which is totally bounded, has, when averaged over sections, a lower bound of order $\log N$, where $N^{-1}$ is the approximation step.
Received: 25.12.1972
English version:
Mathematical Notes, 1974, Volume 15, Issue 3, Pages 207–211
DOI: https://doi.org/10.1007/BF01438371
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. V. Bochkarev, “Absolute convergence of Fourier series with respect to bounded systems”, Mat. Zametki, 15:3 (1974), 363–370; Math. Notes, 15:3 (1974), 207–211
Citation in format AMSBIB
\Bibitem{Boc74}
\by S.~V.~Bochkarev
\paper Absolute convergence of Fourier series with respect to bounded systems
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 3
\pages 363--370
\mathnet{http://mi.mathnet.ru/mzm7356}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=358211}
\zmath{https://zbmath.org/?q=an:0304.42011|0302.42011}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 3
\pages 207--211
\crossref{https://doi.org/10.1007/BF01438371}
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  • https://www.mathnet.ru/eng/mzm/v15/i3/p363
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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