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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, Volume 8, Issue 3, Pages 3–9
DOI: https://doi.org/10.18500/1816-9791-2008-8-3-3-9 (Mi isu114) 		 
Mathematics

On convergence of Fourier–Vilenkin series in $L^p[0,1)$, $0<p\le1$

S. S. Volosivets

Saratov State University, Chair of Theory of Functions and Approximations
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DOI: https://doi.org/10.18500/1816-9791-2008-8-3-3-9
Abstract: In this paper we study convergence a.e. and $L^p$-convergence ($0<p\le1$) of Fourier–Vilenkin series under some tauberian conditions on Fourier coefficients of a function. In the case of Fourier–Walsh series these results are obtained by F. Moricz.
Document Type: Article
UDC: 517.518
Language: Russian
Citation: S. S. Volosivets, “On convergence of Fourier–Vilenkin series in $L^p[0,1)$, $0<p\le1$”, Izv. Saratov Univ. Math. Mech. Inform., 8:3 (2008), 3–9
Citation in format AMSBIB
\Bibitem{Vol08}
\by S.~S.~Volosivets
\paper On convergence of Fourier--Vilenkin series in $L^p[0,1)$, $0<p\le1$
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2008
\vol 8
\issue 3
\pages 3--9
\mathnet{http://mi.mathnet.ru/isu114}
\crossref{https://doi.org/10.18500/1816-9791-2008-8-3-3-9}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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