Kirisci, MuratKaraisa, Ali2024-02-232024-02-2320171029-242Xhttps://doi.org/10.1186/s13660-017-1503-zhttps://hdl.handle.net/20.500.12452/15055The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.eninfo:eu-repo/semantics/openAccessKorovkin Type Approximation TheoremsStatistical ConvergenceFibonacci NumbersFibonacci MatrixPositive Linear OperatorDensityFibonacci statistical convergence and Korovkin type approximation theoremsArticle289892572-s2.0-85029755106Q2WOS:000411250100002Q210.1186/s13660-017-1503-z