Kumar A.S.Agrawal P.N.Acar T.2020-06-252020-06-25201812237027https://hdl.handle.net/20.500.12587/2611In 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.eninfo:eu-repo/semantics/closedAccessComplex approximationExact degree of approximationQ-Durrmeyer type operatorsQ-integersVoronovskaja-type resultArticle8011912102-s2.0-85042886046Q3