Cinar, Selin2026-04-252026-04-2520250354-5180https://doi.org/10.2298/FIL2521321Chttps://hdl.handle.net/11486/8545In 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, L-p, 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.eninfo:eu-repo/semantics/openAccessMonotone and sublinear operatorsmatrix summabilitymodular spacesnonlinear Choquet integralstatistical con-vergenceKorovkin theoremArticle39217321733810.2298/FIL2521321C2-s2.0-105019487933Q2WOS:001629549100001Q20000-0002-6244-6214