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Best cubature formulas for some classes of continuous functions of two variables. (Ukrainian, English) Zbl 1224.41098

Ukr. Mat. Zh. 61, No. 4, 572-576 (2009); translation in Ukr. Math. J. 61, No. 4, 687-693 (2009).
Summary: The exact value of the error of a cubature formula is determined for some classes of continuous functions of two variables defined by the strictly monotone module of continuity.

MSC:

41A55 Approximate quadratures
65D30 Numerical integration
Full Text: DOI