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Best cubature formulas for some classes of functions of many variables

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Abstract

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.

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Literature cited

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  3. S. M. Nikol'skii, Quadrature Formulas [in Russian], Moscow (1958).

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Authors
  1. N. P. Korneichuk
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Additional information

Translated from Matematicheskie Zametki, Vol. 3, No. 5, pp. 565–576, May, 1968.

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Korneichuk, N.P. Best cubature formulas for some classes of functions of many variables. Mathematical Notes of the Academy of Sciences of the USSR 3, 360–367 (1968). https://doi.org/10.1007/BF01150990

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  • DOI: https://doi.org/10.1007/BF01150990

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