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ON APPROXIMATE EVALUATION OF MATHEMATICAL EXPECTATION OF FUNCTIONALS FROM THE SOLUTION TO THE LINEAR ÎTO–LÉVY EQUATION

Abstract

Functional quadrature formulas for evaluation of mathematical expectation of nonlinear functionals from the solution to the linear Îto–Lévy equation are constructed. The formulas are exact for third-degree functional polynomials from the solution. The error of the constructed composed formula is obtained for a class of integral-form functionals.

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ISSN 1561-8323 (Print)
ISSN 2524-2431 (Online)