Equi-statistical σσ-convergence of positive linear operators

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