Rates of Power Series Statistical Convergence of Positive Linear Operators and Power Series Statistical Convergence of q-Meyer–König and Zeller Operators

Abstract: In this paper we compute the rates of convergence of power series statistical convergence of sequences of positive linear operators. We also investigate some Korovkin type approximation properties of the q-Meyer–König and Zeller operators and Durrmeyer variant of the q-Meyer–König and Zeller operators via power series statistical convergence. We show that the approximation results obtained in this paper expand some previous approximation results of the corresponding operators.