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

Title: On the reconstruction of functions by the values of the nth 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 <span id=n" />th differences with step <span id=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 <span id=n" />th differences with step <span id=1/n" /> taken at the point <span id=0" />. The problem is solved for functions that are analytic in special domains containing the interval <span id=[0,1]" />.