Aproximation Properties of a Generalization of Linear Positive Operators in C[0,A]

Subject Analysis
Title Aproximation Properties of a Generalization of Linear Positive Operators in C[0,A]
Author(s) Nazmiye Gonul
Keywords Key Words: Linear positive operators, Lipschitz class, modulus of continuity,Rate of convergence.
Abstract

In this paper we study the order of convergence of a generalization of positive operators by means of the functions from Lipschitz class. We use the test functions ((x/(1+x)))^{υ} for υ=0,1,2, a Korovkin type theorem given by [1]. Furthermore we estimate the rate of convergence of these operators. Some figures correspond to obtaining results are given. Finally, the algorithm used in the program has been added.