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    Quantitative estimates for a new complex q-Durrmeyer type operators on compact disks
    (Politechnica University of Bucharest, 2018) Kumar A.S.; Agrawal P.N.; Acar T.
    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. © 2018 Politechnica University of Bucharest. All rights reserved.