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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 1(2), Pages 72–76
DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-72-76 (Mi isu378) 		 
Mathematics

The Approximation of Functions by Transformed Fourier–Vilenkin Series in the Hölder Norm

T. V. Likhacheva

Saratov State University
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DOI: https://doi.org/10.18500/1816-9791-2013-13-1-2-72-76
Abstract: Using the oscillations of rows from matrix $A$, we obtain an estimate for the degree of approximation in Hölder metric by linear means of Fourier–Vilenkin series generated by $A$.
Key words: Vilenkin system, Hölder space, linear means.
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: T. V. Likhacheva, “The Approximation of Functions by Transformed Fourier–Vilenkin Series in the Hölder Norm”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 72–76
Citation in format AMSBIB
\Bibitem{Lik13}
\by T.~V.~Likhacheva
\paper The Approximation of Functions by Transformed Fourier--Vilenkin Series in the H\"older Norm
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 1(2)
\pages 72--76
\mathnet{http://mi.mathnet.ru/isu378}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-1-2-72-76}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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