A note on approximation properties of q-Durrmeyer operators

摘要

In this paper, the approximation properties of q-Durrmeyer operators D-n,D-q(f;x) for f is an element of C[0,1] are discussed. The exact class of continuous functions satisfying approximation process lim(n ->infinity)D(n,q)(f;x)=f(x) is determined. The results of the paper provide an elaboration of the previously-known ones on operators D-n,D-q.