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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(2), Pages 38–42
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-38-42 (Mi isu369) 		 
Mathematics

Absolute Convergence of Some Series, Connected with the Fourier–Vilenkin Series

N. V. Egoshina

Saratov State University
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-38-42
Abstract: Two theorems of O. P. Goyal concerning absolute convergence of some trigonometric series are extended to the case of Vilenkin systems and $L^p$-modulus of continuity.
Key words: positive Fourier–Vilenkin coefficients, absolute convergence.
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: N. V. Egoshina, “Absolute Convergence of Some Series, Connected with the Fourier–Vilenkin Series”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 38–42
Citation in format AMSBIB
\Bibitem{Ego13}
\by N.~V.~Egoshina
\paper Absolute Convergence of Some Series, Connected with the Fourier--Vilenkin Series
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(2)
\pages 38--42
\mathnet{http://mi.mathnet.ru/isu369}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-2-38-42}
\elib{https://elibrary.ru/item.asp?id=21976870}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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