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Fundamentalnaya i Prikladnaya Matematika, 2018, Volume 22, Issue 1, Pages 31–49 (Mi fpm1780)  
This article is cited in 1 scientific paper (total in 1 paper)

On unimprovability of some theorems on convergence in mean of trigonometric series

A. S. Belov

Ivanovo State University, Ivanovo, Russia
Full-text PDF (185 kB) Citations (1)
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Abstract: The paper puts forward a method for constructing trigonometric Fourier series with $L_{2\pi}$-unbounded partial sums that have coefficients with some preassigned properties. In particular, examples of trigonometric Fourier series showing that some conditions of convergence in the mean of trigonometric series cannot be sharpened are constructed.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 250, Issue 3, Pages 404–418
DOI: https://doi.org/10.1007/s10958-020-05023-5
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. S. Belov, “On unimprovability of some theorems on convergence in mean of trigonometric series”, Fundam. Prikl. Mat., 22:1 (2018), 31–49; J. Math. Sci., 250:3 (2020), 404–418
Citation in format AMSBIB
\Bibitem{Bel18}
\by A.~S.~Belov
\paper On unimprovability of some theorems on convergence in mean of trigonometric series
\jour Fundam. Prikl. Mat.
\yr 2018
\vol 22
\issue 1
\pages 31--49
\mathnet{http://mi.mathnet.ru/fpm1780}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 250
\issue 3
\pages 404--418
\crossref{https://doi.org/10.1007/s10958-020-05023-5}
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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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    		Фундаментальная и прикладная математика
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