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2017 Approximation of Durrmeyer Type Operators Depending on Certain Parameters
Neha Malik, Serkan Araci, Man Singh Beniwal
Abstr. Appl. Anal. 2017: 1-9 (2017). DOI: 10.1155/2017/5316150


Motivated by a number of recent investigations, we consider a new analogue of Bernstein-Durrmeyer operators based on certain variants. We derive some approximation properties of these operators. We also compute local approximation and Voronovskaja type asymptotic formula. We illustrate the convergence of aforementioned operators by making use of the software MATLAB which we stated in the paper.


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Neha Malik. Serkan Araci. Man Singh Beniwal. "Approximation of Durrmeyer Type Operators Depending on Certain Parameters." Abstr. Appl. Anal. 2017 1 - 9, 2017.


Received: 29 January 2017; Revised: 30 March 2017; Accepted: 30 April 2017; Published: 2017
First available in Project Euclid: 16 June 2017

zbMATH: 06929560
MathSciNet: MR3661565
Digital Object Identifier: 10.1155/2017/5316150

Rights: Copyright © 2017 Hindawi

Vol.2017 • 2017
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