Application of polynomials of best uniform approximation in the evaluation and analysis of economic phenomena.
Kozlova I. A.
This paper presents the construction of a best uniform approximation of fractal functions of the Blanca, which from an economic point of view can be regarded as a model of a financial market a double zigzag. A method of constructing polynomials of best uniform approximation to this function and finding the maximum deviation of the obtained approximation is carried out using the developed "Program that implements a method of constructing polynomials of best uniform approximation of fractal functions of the Blanca." The program was developed in MatLab and builds a polynomial best uniform approximation of a given function parameter of the form and order of the approximating polynomial, computes the maximum deviation of the obtained approximation and the value of the polynomial at any point. In the basis of the work program is based on the finding of chebyshev alternans.Keywords: fractal function, the best uniform approximation of a double zigzag.
