On Approximation of Functions by Algebraic Polynomials in the Weighted Quasi Normed Space

Abstract

In this paper , we discuss the approximation of weighted function in the weighted quasi normed space by algebraic polynomials. This approximation of the functions is found to the weight quasi normed space by using Jacobi function ,and the zero value is excluded , because it gives the space without weighted . Two results were obtained in this research, each of which depends on a constant with certain values, One of these constants, it is restricted to several values, while the other result showed another restriction in the constant.