Dirik, FadimeDuman, OktayDemirci, Kamil2025-03-232025-03-2320091895-10741644-3616https://doi.org/10.2478/s11533-009-0025-4https://hdl.handle.net/11486/4812In this paper, considering A-statistical convergence instead of Pringsheim's sense for double sequences, we prove a Korovkin-type approximation theorem for sequences of positive linear operators defined on the space of all real valued Bogel-type continuous and periodic functions on the whole real two-dimensional space. A strong application is also presented. Furthermore, we obtain some rates of A-statistical convergence in our approximation.eninfo:eu-repo/semantics/openAccessThe Korovkin theoremB-continuous functionsB-2 pi-periodic functionsA-statistical convergence for double sequencesRegularity for double sequencesArticle7353954910.2478/s11533-009-0025-42-s2.0-69349105455N/AWOS:000268900800016N/A