Function approximation with the use of the Remez algorithm

The article examines one of the methods of function approximation – the Remez algorithm. It is designed to find a polynomial that best approximates a given function on a certain interval. The algorithm finds the polynomial that minimizes the maximum error between the given function and the polynomial approximation. The algorithm finds application in various fields of science and engineering. The work gives the Remez algorithm directly, an example of using the algorithm in solving the problem of function approximation, and analyses the accuracy of the obtained result. The specific feature of this article is the construction of graphs of the approximated function and the polynomial of the best approximation, as well as obtaining the value of the approximation error of the function, in the interactive geometric environment "GeoGebra", mainly used for solving problems of school mathematics and rarely used for solving those of higher mathematics. The information presented in the article can be useful for students and researchers interested in the problems of function approximation.