On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 2, pp. 60-72
Voir la notice de l'article provenant de la source Math-Net.Ru
In this paper an exact error value of simultaneous approximation of functions of two variables and their partial derivatives by bilinear interpolation splines on some classes of functions defined by the modulus of continuity is founded.
Keywords:
approximation of function, bilinear interpolation splines, modulus of continuity.
@article{VNGU_2018_18_2_a5,
author = {M. Sh. Shabozov and U. N. Zevarshoev},
title = {On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {60--72},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2018_18_2_a5/}
}
TY - JOUR AU - M. Sh. Shabozov AU - U. N. Zevarshoev TI - On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2018 SP - 60 EP - 72 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2018_18_2_a5/ LA - ru ID - VNGU_2018_18_2_a5 ER -
%0 Journal Article %A M. Sh. Shabozov %A U. N. Zevarshoev %T On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2018 %P 60-72 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VNGU_2018_18_2_a5/ %G ru %F VNGU_2018_18_2_a5
M. Sh. Shabozov; U. N. Zevarshoev. On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 2, pp. 60-72. http://geodesic.mathdoc.fr/item/VNGU_2018_18_2_a5/