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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 2, Pages 24–30 (Mi ivm9078)  

This article is cited in 1 scientific paper (total in 1 paper)

On a convergence in $L_p$ of the Cesaro means оf Fourier series with monotonic coefficients

L. N. Galoyan

Chair of Higher Mathematics, Physical Faculty, Yerevan State University, 1 Al. Manukyan str., Yerevan, 0025 Republic of Armenia
Full-text PDF (188 kB) Citations (1)
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Abstract: In this paper we study a convergence in $L_p$, $1<p<\infty$, of the Cesaro means of negative order for sine and cosine Fourier series with monotonic coefficients.
Keywords: Cesaro means, integral modulus of continuity, Fourier series with monotonic coefficients, summability in $L_p$ space.
Received: 18.07.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 2, Pages 19–24
DOI: https://doi.org/10.3103/S1066369X16020043
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: L. N. Galoyan, “On a convergence in $L_p$ of the Cesaro means оf Fourier series with monotonic coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 24–30; Russian Math. (Iz. VUZ), 60:2 (2016), 19–24
Citation in format AMSBIB
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\pages 24--30
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  • https://www.mathnet.ru/eng/ivm/y2016/i2/p24
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:259
    Full-text PDF :59
    References:78
    First page:45
     
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