Approximation Properties by $q$-Durrmeyer-Stancu Operators

G. lçöz; R. N. Mohapatra

doi:10.4208/ata.2013.v29.n4.6

Approximation Properties by $q$-Durrmeyer-Stancu Operators

Authors

G. lçöz
R. N. Mohapatra

DOI:

https://doi.org/10.4208/ata.2013.v29.n4.6

Keywords:

$q$-Durrmeyer operator, $q$-Jackson integral, $q$-Beta function.

Abstract

In this paper, we are dealing with $q$-Bernstein-Durrmeyer-Stancu operators. Firstly, we have estimated moments of these operators. Then we have discussed some approximation properties and asymptotic formulas. We have obtained better estimations by using King type approach and given statistical convergence for the operators.

Downloads

Preview
Requires Subscription Full PDF

Published

2013-11-02

Abstract View

41913

Pdf View

4016

Issue

Vol. 29 No. 4 (2013)

Section

Articles

How to Cite

Approximation Properties by $q$-Durrmeyer-Stancu Operators. (2013). Analysis in Theory and Applications, 29(4), 373-383. https://doi.org/10.4208/ata.2013.v29.n4.6