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Matematicheskie Zametki, 1976, Volume 19, Issue 6, Pages 887–898 (Mi mzm7811)  
This article is cited in 2 scientific papers (total in 2 papers)

Convergence and summability of Fourier series

L. V. Zhizhiashvili

Tbilisi State University
Full-text PDF (695 kB) Citations (2)
Abstract: In this note we study (C,−α), summability, 0⩽α<1, of Fourier series and their conjugates in the sense of convergence with respect to the Lp, 1⩽p⩽+∞.
Received: 12.10.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 6, Pages 518–524
DOI: https://doi.org/10.1007/BF01149931
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: L. V. Zhizhiashvili, “Convergence and summability of Fourier series”, Mat. Zametki, 19:6 (1976), 887–898; Math. Notes, 19:6 (1976), 518–524
Citation in format AMSBIB
\Bibitem{Zhi76}
\by L.~V.~Zhizhiashvili
\paper Convergence and summability of Fourier series
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 6
\pages 887--898
\mathnet{http://mi.mathnet.ru/mzm7811}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=420114}
\zmath{https://zbmath.org/?q=an:0351.42016|0337.42007}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 6
\pages 518--524
\crossref{https://doi.org/10.1007/BF01149931}
Linking options:
  • https://www.mathnet.ru/eng/mzm7811
  • https://www.mathnet.ru/eng/mzm/v19/i6/p887
    • This publication is cited in the following 2 articles:
    1. L. N. Galoyan, “On a convergence in $L_p$ of the Cesaro means оf Fourier series with monotonic coefficients”, Russian Math. (Iz. VUZ), 60:2 (2016), 19–24  mathnet  crossref  isi
    2. È. A. Storozhenko, “Approximation of functions of class $H^p$, $0<p\leqslant1$”, Math. USSR-Sb., 34:4 (1978), 527–545  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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