Korovkin Theorem via Statistical e-Modular Convergence of Double Sequences

Özet

The main purpose of the present paper is to obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators. After proving this theorem, we give an application showing that the new result is stronger than classical ones. Also, we study an extension to non-positive operators.