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
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.
optimal recovery, extremal problem, divided difference, Fourier transform.
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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
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\paper On optimal recovery of the operator of $k$-th divided difference from its inaccurately given Fourier transform
\jour Vladikavkaz. Mat. Zh.
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