On the reconstruction of functions by the values of the $n$th differences with step~$1/n$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 178-185
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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 $[0,1]$.
Keywords:
analytic function, basis in the space of analytic functions.
@article{TIMM_2011_17_3_a17,
author = {S. V. Konyagin and A. Yu. Popov},
title = {On the reconstruction of functions by the values of the $n$th differences with step~$1/n$},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {178--185},
publisher = {mathdoc},
volume = {17},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a17/}
}
TY - JOUR AU - S. V. Konyagin AU - A. Yu. Popov TI - On the reconstruction of functions by the values of the $n$th differences with step~$1/n$ JO - Trudy Instituta matematiki i mehaniki PY - 2011 SP - 178 EP - 185 VL - 17 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a17/ LA - ru ID - TIMM_2011_17_3_a17 ER -
%0 Journal Article %A S. V. Konyagin %A A. Yu. Popov %T On the reconstruction of functions by the values of the $n$th differences with step~$1/n$ %J Trudy Instituta matematiki i mehaniki %D 2011 %P 178-185 %V 17 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a17/ %G ru %F TIMM_2011_17_3_a17
S. V. Konyagin; A. Yu. Popov. On the reconstruction of functions by the values of the $n$th differences with step~$1/n$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 178-185. http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a17/