On exactness of cubature formulas in S. L. Sobolev spaces

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It is established conditions which are necessary and sufficient in order that error functionals of cubature formulas will be limited in spaces Lm p ; corresponding to considered sets of integrable functions, defined on limited subsets of cylindrical and conal surfaces.

Пространства l mp, cubature formulae, error funtionals, lm p spaces, approximate calculation of integrals

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IDR: 146114487

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