STATISTICAL RELATIVE A−SUMMATION PROCESS FOR SEQUENCES OF MONOTONE AND SUBLINEAR OPERATORS ON MODULAR SPACES

Abstract

In this paper, we prove Korovkin theorems via statistical relative A− summation process for monotone and sublinear operators in the setting of modular spaces, which includes, in particular cases, Lp, Orlicz, and Musielak- Orlicz spaces. Furthermore, we introduce a new, more general version with results that bring a new perspective. Finally, we present an important example that satisfies our main theorem and shows that it is strong.