Equi-statisticalσ-convergence of positive linear operators

Abstract

In this paper we introduce the notion of equi-statistical σ -convergence which is stronger than the uniform convergence (in the ordinary sense), statistical uniform convergence and statistical uniform σ -convergence. Then, we also give its use in the Korovkin-type approximation theory. We also compute the rate of equi-statistical σ -convergence of a sequence of positive linear operators.