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
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
