Geodesic
Best cubature formulas for some classes of functions of many variables
Matematičeskie zametki, Tome 3 (1968) no. 5, pp. 565-576.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@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},
     publisher = {mathdoc},
     volume = {3},
     number = {5},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_5_a9/}
}
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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/