Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1775-1789
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N. V. Chashnikov. Hermite spline interpolation in the discrete periodic case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1775-1789. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a2/
@article{ZVMMF_2011_51_10_a2,
author = {N. V. Chashnikov},
title = {Hermite spline interpolation in the discrete periodic case},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1775--1789},
year = {2011},
volume = {51},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a2/}
}
TY - JOUR
AU - N. V. Chashnikov
TI - Hermite spline interpolation in the discrete periodic case
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2011
SP - 1775
EP - 1789
VL - 51
IS - 10
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a2/
LA - ru
ID - ZVMMF_2011_51_10_a2
ER -
%0 Journal Article
%A N. V. Chashnikov
%T Hermite spline interpolation in the discrete periodic case
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 1775-1789
%V 51
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a2/
%G ru
%F ZVMMF_2011_51_10_a2
Interpolation of discrete periodic complex-valued functions by the values and increments given at equidistant nodes is examined. A space of discrete functions in which the interpolation problem is uniquely solvable is introduced. Extremal and limit properties of the solution to this problem are found.