# S. V. Konyagin, A. Yu. Popov, On the reconstruction of functions by the values of the $n$th differences with step $1/n$

Title: On the reconstruction of functions by the values of the $n$th differences with step $1/n$
Authors: S. V. Konyagin, A. Yu. Popov
Journal title: Proceedings of the Steklov Institute of Mathematics (Supplementary issues)
Year: 2012
Volume: 277
Pages: 113–120
Citation:

S. V. Konyagin, A. Yu. Popov, “On the reconstruction of functions by the values of the n" />$n$th differences with step 1/n" />$1/n$”, Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, 277, suppl. 1, 113–120

Abstract:

We study the problem of the reconstruction of functions by the values of the n" />$n$th differences with step 1/n" />$1/n$ taken at the point 0" />$0$. The problem is solved for functions that are analytic in special domains containing the interval [0,1]" />$[0,1]$.