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    QUANTITATIVE ESTIMATES FOR A NEW COMPLEX Q-DURRMEYER TYPE OPERATORS ON COMPACT DISKS
    (UNIV POLITEHNICA BUCHAREST, SCI BULL, 2018) Kumar, A. Sathish; Agrawal, Purshottam N.; Acar, Tuncer
    In the present article, the upper bound and Voronovskaya type result with quantitative estimate and the exact degree of approximation for a new complex q-Bernstein-Durrmeyer operators attached to analytic functions on compact disks are obtained. In this way, we put in evidence the over convergence phenomenon for the q-Bernstein-Durrmeyer polynomials, namely the extensions of approximation properties (with quantitative estimates) from real intervals to compact disks in the complex plane.