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
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