Yildiz, SevdaBayram, Nilay Sahin2025-03-232025-03-2320240139-99181337-2211https://doi.org/10.1515/ms-2024-0050https://hdl.handle.net/11486/5050In this paper, we obtain some Korovkin type approximation theorems for double sequences of positive linear operators on two-dimensional weighted spaces via statistical type convergence method with respect to power series method. Additionally, we calculate the rate of convergence. As an application, we provide an approximation using the generalization of Gadjiev-Ibragimov operators for P-p-statistical convergence. Our results are meaningful and stronger than those previously given for two-dimensional weighted spaces.eninfo:eu-repo/semantics/closedAccessPower series methodKorovkin theoremweighted spacesdouble sequencesstatistical convergenceArticle74366567810.1515/ms-2024-00502-s2.0-85197858486Q2WOS:001253827900019Q2