A Generalization of Szász–Mirakyan Operators Based on ? Non-Negative Parameter

The main purpose of this paper is to define a new family Szász–Mirakyan operators that depends on non-negative parameter, say ?. This crucial in it includes both the existing operator and allows construction for different values Then, convergence properties with aid Popoviciu–Bohman–Korovkin theorem-type property are presented. Voronovskaja-type theorem rate provided detailed proof. Furthermore, help classical modulus continuity, we deduce an upper bound error operator. In addition these, order show convex or monotonic functions produced operators, obtain shape-preserving operators. symmetry sequence investigated. Moreover, compare its correspondence one has superior properties. Finally, some numerical illustrative examples presented strengthen our theoretical results.