Dirik, FadimeDemirci, Kamil2025-03-232025-03-2320110025-5165https://hdl.handle.net/11486/4467This paper deals with a modification of the classical Sz ́asz-Mirakjan type operators of two variables. It introduces a new sequence of non-polynomial linear operators which hold fixed the polynomials x2+αx and y2+βy with αβε[0,∞) and we study the convergence properties of the new approximation process. Also, we compare it with Sz ́asz-Mirakjan type operators and show an improvement of the error of convergence in [0,1] × [0,1]. Finally, we study statistical convergence of this modification.eninfo:eu-repo/semantics/closedAccessA-statistical convergence for double sequencesKorovkin-type approximation theoremModulus of contiunitySáasz-Mirakjan type operatorsArticle63159662-s2.0-78650617923Q3