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Ufa Mathematical Journal, 2016, Volume 8, Issue 4, Pages 144–151
DOI: https://doi.org/10.13108/2016-8-4-144 (Mi ufa354) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On absolute Cesáro summablity of Fourier series for almost-periodic functions with limiting points at zero

Yu. Kh. Khasanov

Russian-Tajik Slavonic University, Dushanbe, Tajikistan
English version PDF (317 kB) Citations (1)
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DOI: https://doi.org/10.13108/2016-8-4-144
Abstract: In the paper we establish some tests for absolute Cesáro summability of the Fourier series for almost-periodic in the Bezikovich sense. We consider the case, when the Fourier exponents have a limiting point at zero and as a structure characteristics of the studied function we use a high order averaging modulus.
Keywords: absolute summability, almost-periodic function, Fourier series, Fourier exponents, limiting point at zero, averaging module.
Received: 16.10.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2016, Volume 8, Issue 4, Pages 147–155
Bibliographic databases:
Document Type: Article
UDC: 512.518.66
MSC: 42A24, 42A75
Language: English
Original paper language: Russian
Citation: Yu. Kh. Khasanov, “On absolute Cesáro summablity of Fourier series for almost-periodic functions with limiting points at zero”, Ufimsk. Mat. Zh., 8:4 (2016), 147–155; Ufa Math. J., 8:4 (2016), 144–151
Citation in format AMSBIB
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  • https://doi.org/10.13108/2016-8-4-144
  • https://www.mathnet.ru/eng/ufa/v8/i4/p147
    • 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
    		Уфимский математический журнал
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    Abstract page:240
    Russian version PDF:102
    English version PDF:12
    References:45
     
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