Dunkl generalization of q-Szász-Mirakjan operators which preserve x 2


Mohammad Mursaleen, Shagufta Rahman




In the present paper we construct q-Szász-Mirakjan operators generated by Dunkl generalization of the exponential function which preserve x 2. We obtain some approximation results via universal Korovkin's type theorem for these operators and study convergence properties by using the modulus of continuity. Furthermore, we obtain a Voronovskaja type theorem for these operators