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 $$n$$th differences with step $$1/n$$”, 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 $$n$$th differences with step $$1/n$$ taken at the point $$0$$. The problem is solved for functions that are analytic in special domains containing the interval $$[0,1]$$.