Some approximation properties of q-parametric BBH operators

Abstract

The paper introduces q-parametric Bleimann, Butzer and Hahn (q-BBH) operators as a rational transformation of q-Bernstein-Lupas operators. On their basis, a set of new results on q-BBH operators can be obtained easily from the corresponding properties of q-Bernstein-Lupas operators. Among several other results, a set of identities involving divided differences are obtained. Furthermore, convergence properties of q-BBH operators are studied.