Reconstruction of multivariable functions by means of the scheme of metric analysis

A problem of the reconstruction of multivariable function whose values with chaotic errors are given at a finite number of points is considered in the paper. Problems of this kind arise when solving applied problems in various fields of research, including physics, engineering, economics, etc. We propose a new approach for solving this problem with the help of a metric analysis. The paper gives a numerical example of the solution of the problem of the reconstruction of multivariable function, demonstrating the effectiveness of the proposed scheme.