• Title of article

    APPROXIMATION BY GENUINE q-BERNSTEIN-DURRMEYER POLYNOMIALS IN COMPACT DISKS

  • Author/Authors

    Mahmudov, Nazim Idrisoglu Eastern Mediterranean University - Department of Mathematics, Turkey

  • From page
    77
  • To page
    89
  • Abstract
    In this paper, the order of simultaneous approximation and Voronovskaja type theorems with quantitative estimate for complex genuine q-Bernstein-Durrmeyer polynomials (0 q 1) attached to analytic functions on compact disks are obtained. Our results show that extension of the complex genuine q-Bernstein-Durrmeyer polynomials from real intervals to compact disks in the complex plane extends approximation properties (with quantitative estimates).
  • Keywords
    Complex genuine q , Bernstein–Durrmeyer operators , Voronovskaja’s theorem , Approximation in compact disks
  • Journal title
    Hacettepe Journal Of Mathematics an‎d Statistics
  • Journal title
    Hacettepe Journal Of Mathematics an‎d Statistics
  • Record number

    2650197