Numerical calculation of multidimensional integrals depended on input information about the function in mathematical modelling of technical and economic processes

Abstract

The object of study is a numerical integration of the functions of several variables using new information operators. The cubature formulas of the approximate calculation of double and triple integrals for different information operators are presented. Information about function is given not only by the values of a function in nodes, but also as a set of traces of a function on planes or as a set of traces of a function on lines. Attention is paid to the application of such approximate calculation of integrals in various fields of science.