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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     author = {S. A. Unuchek},
     title = {On optimal recovery of the operator of $k$-th divided difference from its inaccurately given {Fourier} transform},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {84--92},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2015_17_3_a9/}
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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/