On the Durrmeyer-type modification of some discrete approximation operators

In (10), for continuous functions f from the domain of certain discrete operators Ln the inequalities are proved concerning the modulus of continuity of Lnf. Here we present analogues of the results obtained for the Durrmeyer-type modiÞcation e Ln of Ln. Moreover, we give the estimates of the rate of convergence of e Lnf in Holder-type norms