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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 1, Pages 68–76
DOI: https://doi.org/10.18500/1816-9791-2009-9-1-68-76 (Mi isu34) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Mathematics

Same properties $r$-fold integration series on Fourier–Haar system

I. I. Sharapudinova, G. N. Muratovab

a Daghestan Scientific Centre of the Russian Academy of Sciences
b Daghestan State Pedagogical University
Full-text PDF (178 kB) Citations (15)
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DOI: https://doi.org/10.18500/1816-9791-2009-9-1-68-76
Abstract: Approximation properties of series obtained by $r$-fold integration of Fourier–Haar series are research. It is shown that $r$-fold integrated Fourier–Haar series can be useful in the task of simultaneous approximation of differentiable function and its derivatives.
Key words: Haar function, integration Haar series, approximation properties.
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. I. Sharapudinov, G. N. Muratova, “Same properties $r$-fold integration series on Fourier–Haar system”, Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009), 68–76
Citation in format AMSBIB
\Bibitem{ShaMur09}
\by I.~I.~Sharapudinov, G.~N.~Muratova
\paper Same properties $r$-fold integration series on Fourier--Haar system
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 1
\pages 68--76
\mathnet{http://mi.mathnet.ru/isu34}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-1-68-76}
\elib{https://elibrary.ru/item.asp?id=11903502}
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    • This publication is cited in the following 15 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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