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JOURNALS
// Vladikavkazskii Matematicheskii Zhurnal
// Archive
Vladikavkaz. Mat. Zh.,
2015
Volume 17,
Number 3,
Pages
84–92
(Mi vmj556)
This article is cited 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
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.
UDC:
517.984.64
Received:
24.02.2015
Fulltext:
PDF file (205 kB)
References
Cited by
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Steklov Math. Inst. of RAS
, 2024