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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 1, Pages 3–8
DOI: https://doi.org/10.18500/1816-9791-2009-9-1-3-8 (Mi isu26) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On uniformconvergence of transformations of Fourier series on multiplicative systems

N. Yu. Agafonova

Saratov State University named after N. G. Chernyshevsky
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DOI: https://doi.org/10.18500/1816-9791-2009-9-1-3-8
Abstract: Necessary and suffiecient conditions for uniform $\Lambda$-summability of Fourier–Vilenkin series of Functions from Orlicz spaces $L_\Phi[0,1)$ and $L^1[0,1)$ are obtained. Some corollaries for matrices with generalized monotone coeffiecients are given.
Key words: multiplicative systems, Fourier–Vilenkin series, uniform convergence, multipliers, uniform $\Lambda$-summability.
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: N. Yu. Agafonova, “On uniformconvergence of transformations of Fourier series on multiplicative systems”, Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009), 3–8
Citation in format AMSBIB
\Bibitem{Aga09}
\by N.~Yu.~Agafonova
\paper On uniformconvergence of transformations of Fourier series on multiplicative systems
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 1
\pages 3--8
\mathnet{http://mi.mathnet.ru/isu26}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-1-3-8}
\elib{https://elibrary.ru/item.asp?id=11903494}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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