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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 3, Pages 47–54 (Mi vmj512)  
This article is cited in 1 scientific paper (total in 1 paper)

About relationship between summability of almost periodic functions and Fouriers coefficients

Yu. Kh. Khasanov

Russian-Tajik Slavonic University, Dushanbe, Tajikistan
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Abstract: We generalize Paley's theorem for Bezicovich and Stepanov almost periodic functions on arbitrary trigonometric system. It is proved that for any trigonometric series under some conditions there exists an almost-periodic function which the given series is its Fourier series.
Key words: almost periodic functions, Fourier series, Fourier coefficients, relationship summability, series convergence.
Received: 20.09.2013
Document Type: Article
UDC: 517.512
Language: Russian
Citation: Yu. Kh. Khasanov, “About relationship between summability of almost periodic functions and Fouriers coefficients”, Vladikavkaz. Mat. Zh., 16:3 (2014), 47–54
Citation in format AMSBIB
\Bibitem{Kha14}
\by Yu.~Kh.~Khasanov
\paper About relationship between summability of almost periodic functions and Fouriers coefficients
\jour Vladikavkaz. Mat. Zh.
\yr 2014
\vol 16
\issue 3
\pages 47--54
\mathnet{http://mi.mathnet.ru/vmj512}
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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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