Geodesic
Optimal recovery of values of smooth functions and their derivatives using inexact information on a segment
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1047-1058
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We consider the problem of recovery of certain function's derivative value at the specified point when the function is smooth, belongs to a specified class and values of this function on a segment are given with an error. 
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D. A. Mihalin. Optimal recovery of values of smooth functions and their derivatives using inexact information on a segment. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1047-1058. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a7/

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