Statistical relative uniform convergence of a double sequence of functions at a point and applications to approximation theory

Yıldız, Sevda2025-03-232025-03-2320212587-26802587-246Xhttps://doi.org/10.17776/csj.831339https://search.trdizin.gov.tr/tr/yayin/detay/1120669https://hdl.handle.net/11486/3692In the present paper, we introduce a new kind of convergence, called the statistical relative uniform convergence, for a double sequence of functions at a point, where the relative uniform convergence of the set of the neighborhoods of the given point is considered. By the use of the statistical relative uniform convergence, we investigate a Korovkin type approximation theorem which makes the proposed method stronger than the ones studied before. After that, we give an example using this new type of convergence. We also study the rate of convergence of the proposed convergence.eninfo:eu-repo/semantics/openAccessMatematikİstatistik ve OlasılıkStatistical relative uniform convergence of a double sequence of functions at a point and applications to approximation theoryArticle42112313110.17776/csj.8313391120669