Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 749-756
Citer cet article
Yu. N. Shakhov. On the error made in recovering functions of a certain class on parallelepiped-type grids. Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 749-756. http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a10/
@article{MZM_1974_15_5_a10,
author = {Yu. N. Shakhov},
title = {On the error made in recovering functions of a~certain class on parallelepiped-type grids},
journal = {Matemati\v{c}eskie zametki},
pages = {749--756},
year = {1974},
volume = {15},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a10/}
}
TY - JOUR
AU - Yu. N. Shakhov
TI - On the error made in recovering functions of a certain class on parallelepiped-type grids
JO - Matematičeskie zametki
PY - 1974
SP - 749
EP - 756
VL - 15
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a10/
LA - ru
ID - MZM_1974_15_5_a10
ER -
%0 Journal Article
%A Yu. N. Shakhov
%T On the error made in recovering functions of a certain class on parallelepiped-type grids
%J Matematičeskie zametki
%D 1974
%P 749-756
%V 15
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a10/
%G ru
%F MZM_1974_15_5_a10
We derive (according to the number of tabular nodes) an asymptotic upper bound to the recovery error made on a class of functions of several variables whose mixed derivative is periodic in each variable and satisfies a multiple Lipschitz condition. As the tabular nodes we consider the vertices of a parallelepiped-type grid constructed with optimal coefficients.
