Geodesic
Cubature formulas for classes of functions with bounded mixed difference
Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 283-292

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Cubature formulas are considered for classes of functions with bounded mixed difference. The correct order is found for the error of optimal cubature formulas that use the values of the functions at particular points. It turns out that, for the classes indicated above, cubature formulas constructed with the help of number-theoretic methods are optimal (in the sense of order). 
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     author = {V. V. Dubinin},
     title = {Cubature formulas for classes of functions with bounded mixed difference},
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V. V. Dubinin. Cubature formulas for classes of functions with bounded mixed difference. Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 283-292. http://geodesic.mathdoc.fr/item/SM_1993_76_2_a1/