q-Durrmeyer operators based on Pólya distribution
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Authors
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.
Abstract
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.
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ISRP Style
Vijay Gupta, Themistocles M. Rassias, Honey Sharma, q-Durrmeyer operators based on Pólya distribution, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1497--1504
AMA Style
Gupta Vijay, Rassias Themistocles M., Sharma Honey, q-Durrmeyer operators based on Pólya distribution. J. Nonlinear Sci. Appl. (2016); 9(4):1497--1504
Chicago/Turabian Style
Gupta, Vijay, Rassias, Themistocles M., Sharma, Honey. "q-Durrmeyer operators based on Pólya distribution." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1497--1504
Keywords
- Pólya distribution
- q-integers
- q-Bernstein operators
- modulus of continuity
- Peetre K-functional
- weighted modulus of continuity.
MSC
References
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