Abstract versions of Korovkin theorems on modular spaces via statistical relative summation process for double sequences

S. Yildiz

In this paper, we studied the abstract versions of Korovkin type approximation theorems via statistical relative $\mathcal{A-}$Summation process in modular spaces for double sequences. Then, we discuss the results which are obtained by special choice of the scale function and the matrix sequences and we give an application that shows our results are stronger than studied before. Finally, we study an extension to non-positive linear operators.

Tbilisi Mathematical Journal, Vol. 13(1) (2020), pp. 139-156