Demirci, KamilDirik, FadimeYildiz, Sevda2026-04-252026-04-2520250354-5180https://doi.org/10.2298/FIL2523117Dhttps://hdl.handle.net/11486/8547In this paper, we define almost A-statistical convergence via almost regular matrices, which extend the notion of regular matrices, and find its relationship with almost A-summability. Then we study its use in a Korovkin-type approximation theorem. We also construct an example such that our new result works but its classical and statistical versions do not work and a figure will be presented to support our result. Finally, we compute the corresponding rate of almost A-statistical convergence of positive linear operators in two different ways, we have newly defined.eninfo:eu-repo/semantics/openAccessAlmost convergencestatistical convergenceKorovkin type-approximationrate of convergencealmost regular matrixArticle39238117812810.2298/FIL2523117D2-s2.0-105020818103Q2WOS:001629603400001Q20000-0002-4730-2271