Equi-statistical σ-convergence of positive linear operators

Abstract

Positive linear operator Korovkin-type approximation theorem a b s t r a c tIn 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.