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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 3, Pages 84–92 (Mi vmj556)  
This article is cited in 1 scientific paper (total in 1 paper)

On optimal recovery of the operator of $k$-th divided difference from its inaccurately given Fourier transform

S. A. Unuchek

Moscow State Technical University of Radioengineering, Electronics and Automation, Moscow, Russia
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Abstract: This paper considers the recovery problem of the $k$-th divided difference of sequence, provided that the Fourier transform of this sequence on the interval is approximately known. The optimal recovery method is also constructed.
Key words: optimal recovery, extremal problem, divided difference, Fourier transform.
Received: 24.02.2015
Document Type: Article
UDC: 517.984.64
Language: Russian
Citation: S. A. Unuchek, “On optimal recovery of the operator of $k$-th divided difference from its inaccurately given Fourier transform”, Vladikavkaz. Mat. Zh., 17:3 (2015), 84–92
Citation in format AMSBIB
\Bibitem{Unu15}
\by S.~A.~Unuchek
\paper On optimal recovery of the operator of $k$-th divided difference from its inaccurately given Fourier transform
\jour Vladikavkaz. Mat. Zh.
\yr 2015
\vol 17
\issue 3
\pages 84--92
\mathnet{http://mi.mathnet.ru/vmj556}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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