Approximation by Baskakov-Durrmeyer-Stancu operators based on q-integers

In the present paper, we introduce the Baskakov-Durrmeyer-Stancu operators based on q-integers. First we obtain moment estimates for these operators. We study the direct theorem and the rate of convergence in weighted space for the operators Dn,q(α,β)(f, x). Also Voronovskaja type theorem is studied.