Geodesic
On optimal recovery of the operator of $k$-th divided difference from its inaccurately given Fourier transform
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 3, pp. 84-92
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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. 
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     title = {On optimal recovery of the operator of $k$-th divided difference from its inaccurately given {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. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 3, pp. 84-92. http://geodesic.mathdoc.fr/item/VMJ_2015_17_3_a9/

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