Statistical Relative $$\mathcal {A}$$ A -Summation Process and Korovkin-Type Approximation Theorem on Modular Spaces

Abstract

In this paper, we present the notion of relative \(\mathcal {A}\)-summation process. Then we give a statistical Korovkin-type approximation theorem via relative \( \mathcal {A}\)-summation process in the setting of modular spaces, which includes as particular cases Lp, Orlicz and Musielak–Orlicz spaces. Finally, we give an example showing that our results are proper extensions of the corresponding ones.