A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators

Abstract

In this paper we consider some analogs of the Korovkin approximation theorem via lacunary equistatistical convergence. In particular we study lacunary equi-statistical convergence of approximating operators on $H_{w_{\mathrm{2}}}$ spaces, the spaces of all real valued continuous functions $f$ de…ned on $K={\left[0,\left.\infty \right)\right.}^m$ and satisfying some special conditions.