In this paper, we study several approximation properties of Szasz-Mirakjan-Durrmeyer operators with shape parameter ??[?1,1]??[?1,1]. Firstly, obtain some preliminaries results such as moments and central moments. Next, estimate the order convergence in terms usual modulus continuity, for functions belong to Lipschitz type class Peetre's K-functional, respectively. Also, prove a Korovkin theore...