Demirci, KamilDirik, Fadime2025-03-232025-03-2320110893-9659https://doi.org/10.1016/j.aml.2010.10.031https://hdl.handle.net/11486/6712Mursaleen and Edely [M. Mursaleen and O.H.H Edely, On invariant mean and statistical convergence, Appl. Math. Lett. (2009) doi:10.1016/j.aml.2009.06.005] have recently introduced the notion of statistical sigma-convergence. In this paper, we study its use in the Korovkin-type approximation theorem. Then, we construct an example such that our new result works but its classical and statistical cases do not work. We also compute the rates of statistical sigma-convergence of a sequence of positive linear operators. (c) 2010 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessStatistical sigma-convergenceStatistical convergencePositive linear operatorKorovkin-type approximation theoremBernstein polynomialsArticle24337538010.1016/j.aml.2010.10.0312-s2.0-78649939212Q1WOS:000285659800027Q1