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AN ANALOG OF THE GAUSS QUADRATURE FOR PERIODIC FUNCTIONS

Abstract

In this paper we study cubature formulas for calculating multiple integrals of functions periodic in each variable. The basis of the statement of the problem lies in the assertion that these formulas must be exact for trigonometric polynomials of possibly higher degree for a given number of nodes of integration. It is known that for algebraic polynomials Such quadrature formulas are the Gauss quadratures. Similar formulas in the periodic case are called analogues of Gauss quadratures.

About the Authors

V. N. Chubarikov
Moscow State University
Russian Federation


M. L. Sharapova
Moscow State University
Russian Federation


References

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Review

For citations:


Chubarikov V.N., Sharapova M.L. AN ANALOG OF THE GAUSS QUADRATURE FOR PERIODIC FUNCTIONS. Proceedings in Cybernetics. 2017;(1 (25)):40-44.

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ISSN 1999-7604 (Online)