Geodesic
q-Durrmeyer operators based on Pólya distribution
Gupta, Vijay1 ; Rassias, Themistocles M.2 ; Sharma, Honey3
1 Department of Mathematics, Netaji Subhas Institute of Technology Sector 3 Dwarka, New Delhi-110078, India
2 Department of Mathematics, National Technical University of Athens, Zografou Campus, 157 80, Athens, Greece
3 Department of Applied Sciences, Gulzar Group of Institutes, Khanna, Ludhiana, Punjab, India
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 4, p. 1497-1504.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.04.08
Classification : 41A25, 41A35
Keywords: Pólya distribution, q-integers, q-Bernstein operators, modulus of continuity, Peetre K-functional, weighted modulus of continuity.

Gupta, Vijay 1 ; Rassias, Themistocles M. 2 ; Sharma, Honey 3

1 Department of Mathematics, Netaji Subhas Institute of Technology Sector 3 Dwarka, New Delhi-110078, India
2 Department of Mathematics, National Technical University of Athens, Zografou Campus, 157 80, Athens, Greece
3 Department of Applied Sciences, Gulzar Group of Institutes, Khanna, Ludhiana, Punjab, India 
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Gupta, Vijay; Rassias, Themistocles M.; Sharma, Honey. q-Durrmeyer operators based on Pólya distribution. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 4, p. 1497-1504. doi : 10.22436/jnsa.009.04.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.04.08/

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