Cinar, Selin2026-04-252026-04-2520251303-5991https://doi.org/10.31801/cfsuasmas.1579087https://search.trdizin.gov.tr/tr/yayin/detay/1318328https://hdl.handle.net/11486/8564In this paper, we study the concept of statistical convergence with respect to the power series method in measure, which is a new modification of the power series method. Also, using this convergence, we obtain the Lebesgue bounded convergence theorem and the fundamental theorems of measure theory. Finally, we prove Korovkin's theorem as an application using this notion of convergence.eninfo:eu-repo/semantics/openAccessPower series methodsstatistical convergencemeasurable functionArticle74217017910.31801/cfsuasmas.1579087N/A1318328WOS:001517408700001Q30000-0002-6244-6214