This article is cited in 17 papers

Best cubature formulas for some classes of functions of many variables

N. P. Korneichuk

Dnepropetrovsk State University

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.

UDC: 517.5

Received: 08.12.1967

 English version: Mathematical Notes, 1968, 3:5, 360–367

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