Demirci, KamilOrhan, Sevda2025-03-232025-03-2320161422-63831420-9012https://doi.org/10.1007/s00025-015-0484-9https://hdl.handle.net/11486/7014In this paper we define a new type of statistical convergence by using the notions of the natural density and the relatively uniform convergence. We study its use in the Korovkin-type approximation theory. Then, we construct an example such that our new approximation result works but its classical and statistical cases do not work. We also compute the rates of statistically relatively uniform convergence of sequences of positive linear operators.eninfo:eu-repo/semantics/closedAccessStatistical convergenceStatistically relatively uniform convergenceKorovkin theoremRate of convergenceArticle693-435936710.1007/s00025-015-0484-92-s2.0-84971201025Q2WOS:000376103600006Q1