Matematičeskie zametki, Tome 3 (1968) no. 5, pp. 565-576
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N. P. Korneichuk. Best cubature formulas for some classes of functions of many variables. Matematičeskie zametki, Tome 3 (1968) no. 5, pp. 565-576. http://geodesic.mathdoc.fr/item/MZM_1968_3_5_a9/
@article{MZM_1968_3_5_a9,
author = {N. P. Korneichuk},
title = {Best cubature formulas for some classes of functions of many variables},
journal = {Matemati\v{c}eskie zametki},
pages = {565--576},
year = {1968},
volume = {3},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_5_a9/}
}
TY - JOUR
AU - N. P. Korneichuk
TI - Best cubature formulas for some classes of functions of many variables
JO - Matematičeskie zametki
PY - 1968
SP - 565
EP - 576
VL - 3
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1968_3_5_a9/
LA - ru
ID - MZM_1968_3_5_a9
ER -
%0 Journal Article
%A N. P. Korneichuk
%T Best cubature formulas for some classes of functions of many variables
%J Matematičeskie zametki
%D 1968
%P 565-576
%V 3
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_5_a9/
%G ru
%F MZM_1968_3_5_a9
The problem of minimizing the error in the cubature formula for a given class of functions is considered. For cubature formulas with a lattice arrangement of points this problems is solved exactly for a wide class of functions of $m$ variables.
