Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 217-226
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V. M. Mordashev. Best approximations of functions of several variables by sums of functions of fewer variables. Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 217-226. http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a8/
@article{MZM_1969_5_2_a8,
author = {V. M. Mordashev},
title = {Best approximations of functions of several variables by sums of functions of fewer variables},
journal = {Matemati\v{c}eskie zametki},
pages = {217--226},
year = {1969},
volume = {5},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a8/}
}
TY - JOUR
AU - V. M. Mordashev
TI - Best approximations of functions of several variables by sums of functions of fewer variables
JO - Matematičeskie zametki
PY - 1969
SP - 217
EP - 226
VL - 5
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a8/
LA - ru
ID - MZM_1969_5_2_a8
ER -
%0 Journal Article
%A V. M. Mordashev
%T Best approximations of functions of several variables by sums of functions of fewer variables
%J Matematičeskie zametki
%D 1969
%P 217-226
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a8/
%G ru
%F MZM_1969_5_2_a8
The minimum of the mean-square deviation of approximations of functions of several independent variables by sums of functions of fewer variables in a multidimensional parallelepiped is investigated. The approximating function yielding the minimum mean-square deviation is obtained and this minimum deviation is calculated.
