Approximation for periodic functions via statistical A-summability

Abstract

In this paper, using the concept of statistical A-summability which is stronger than the A-statistical convergence we prove a Korovkin type approximation theorem for sequences of positive linear operator defined on C*(p) which is the space of all p-periodic and continuous functions on R, the set of all real numbers. We also compute the rates of statistical A-summability of sequence of positive linear operators.