q-Durrmeyer operators based on Pólya distribution


Vijay Gupta - Department of Mathematics, Netaji Subhas Institute of Technology Sector 3 Dwarka, New Delhi-110078, India. Themistocles M. Rassias - Department of Mathematics, National Technical University of Athens, Zografou Campus, 157 80, Athens, Greece. Honey Sharma - Department of Applied Sciences, Gulzar Group of Institutes, Khanna, Ludhiana, Punjab, India.


We introduce a q analogue of Durrmeyer type modification of Bernstein operators based on Pólya distributions. We study the ordinary approximation properties of operators using modulus of continuity and Peetre K-functional of second order. Further, we establish the weighted approximation properties for these operators.