Yildiz, SevdaDemirci, KamilDirik, Fadime2026-04-252026-04-2520252035-6803https://hdl.handle.net/11486/8648This paper introduces a new approximation theorem, type of Korovkin, for positive linear operators (pLO) defined on the Banach space C-* [0, infinity) comprising all real-valued continuous functions on [0, infinity) that converge to a finite limit as their argument approaches infinity. By applying statistical convergence with respect to power series methods and employing the test functions 1, exp(-u) and exp(-2u), we derive a novel approximation result. Our findings demonstrate that the proposed method outperforms classical and statistical approaches, as illustrated by a concrete example. Furthermore, we explore the rate of convergence associated with this new approximation theorem.eninfo:eu-repo/semantics/closedAccessStatistical convergencepower series methodKorovkin type theoremrate of convergenceArticle1817242-s2.0-105001519575N/AWOS:001460650900001Q10000-0002-4730-2271