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Matematicheskie Zametki, 2024, Volume 115, Issue 3, paper published in the English version journal (Mi mzm13754)  
Papers published in the English version of the journal

A Note on $L^1$-Convergence of Fourier Series with Riesz Mean

H. S. Ozarslan, M. Ö. Şakar

Department of Mathematics, Erciyes University, Kayseri, Turkey
Abstract: In this paper, the problem of $L^1$-convergence of Fourier series with quasi-monotone coefficients is handled by using the $(\bar{N},p_n)$-mean. Also, an example is given about the Fourier series of a signal (function) $f$ and its $(\bar{N},p_n)$ mean.
Keywords: Dirichlet kernel, Fejer sum, Fourier series, $L^1$-convergence, quasi-monotone sequence, Riesz mean.
Funding agency Grant number
Erciyes University FDK-2021-8831
This work was supported by Research Fund of the Erciyes University, Project no. FDK-2021-8831.
Received: 04.10.2022
Revised: 05.05.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 3, Pages 371–377
DOI: https://doi.org/10.1134/S000143462403009X
Bibliographic databases:
Document Type: Article
MSC: 42A20, 42A32
Language: English
Citation: H. S. Ozarslan, M. Ö. Şakar, “A Note on $L^1$-Convergence of Fourier Series with Riesz Mean”, Math. Notes, 115:3 (2024), 371–377
Citation in format AMSBIB
\Bibitem{OzaSak24}
\by H.~S.~Ozarslan, M.~\"O.~{\c S}akar
\paper A Note on
$L^1$-Convergence of Fourier Series with Riesz Mean
\jour Math. Notes
\yr 2024
\vol 115
\issue 3
\pages 371--377
\mathnet{http://mi.mathnet.ru/mzm13754}
\crossref{https://doi.org/10.1134/S000143462403009X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4767909}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85197737784}
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