Ali, M.Aslan, R.Özger, F.2025-06-302025-06-3020252364-683710.1007/978-981-96-2476-8_12-s2.0-105007566715https://doi.org/10.1007/978-981-96-2476-8_1https://hdl.handle.net/20.500.14720/25235In this chapter, we aim to study some direct theorems and local approximation results of a family of Kantorovich operators including 2D Appell polynomials. Next, we establish a connection between summability methods, and the statistical convergence of the related operators. Moreover, we investigate certain graphical examples to show the accuracy and efficiency of the proposed operators in terms of selected parameters. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.eninfo:eu-repo/semantics/closedAccess2D Appell PolynomialsKantorovich OperatorsPeetre’S K-FunctionalWeighted Statistical ConvergenceBook PartPart F464N/AQ4117