Korovkin theory via Pp-statistical relative modular convergence for double sequences

In this paper, we introduce a new type of statistical relative modular convergence for the first time and we obtain Korovkin theorems for double sequences of positive linear operators on modular spaces in the sense of this new statistical type convergence with respect to power series method. Finally, we present an interesting application that satisfies our new approximation theorem but not satisfies the classical ones. So, we show that our results are meaningful.