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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 3(1), Pages 15–21
DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-15-21 (Mi isu229) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Approximation of functions by Borel means of Fourier series with respect to multiplicative systems

T. V. Iofina

Saratov State University, Chair of Theory of Functions and Approximations
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DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-15-21
Abstract: In the present paper we consider Borel means of Fourier series with respect to Vilenkin systems with bounded generating sequence and obtain some estimates of approximation by this means in $L^p$, uniform and Hölder type norm in classes of functions with given majorant of best approximation or modulus of continuity. In the trigonometric case similar results were established by P. Chandra, L. Rempulska and K. Tomczak.
Key words: Vilenkin systems with bounded generating sequence, Borel means, Hölder type metric, $L^p$-norm, uniform norm.
Document Type: Article
UDC: 517.51
Language: Russian
Citation: T. V. Iofina, “Approximation of functions by Borel means of Fourier series with respect to multiplicative systems”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011), 15–21
Citation in format AMSBIB
\Bibitem{Iof11}
\by T.~V.~Iofina
\paper Approximation of functions by Borel means of Fourier series with respect to multiplicative systems
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 3(1)
\pages 15--21
\mathnet{http://mi.mathnet.ru/isu229}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-3-1-15-21}
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