On an approximation process of integral type

In this paper we study a class of integral type positive linear operators depending on a parameter β,0⩽β<1β,0⩽β<1. Approximation properties of this class are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the uniform approximation over unbounded intervals is established, the convergence in certain weighted spaces is investigated. For particular case β=0β=0 some previous results are recaptured.