Dirik, FadimeDemirci, Kamil2025-03-232025-03-2320101331-0623https://hdl.handle.net/11486/4465In this paper, we introduce a modification of the Szász-Mirakjan type operators of two variables which preserve fo (x, y) = 1 and f3 (x, y) = x2 + y2. We prove that this type of operators enables a better error estimation on the interval [0, ∞) × [0, ∞) than the classical Szász-Mirakjan type operators of two variables. Moreover, we prove a Voronovskaya-type theorem and some differential properties for derivatives of these modified operators. Finally, we also study statistical convergence of the sequence of modified Szász-Mirakjan type operators. © 2010 Department of Mathematics, University of Osijek.eninfo:eu-repo/semantics/closedAccessA-statistical convergenceModulus of continuitySzász-Mirakjan type operatorsThe korovkin-type approximation theoremArticle1511771882-s2.0-77953841431Q3