Abstract and Applied Analysis

Approximation of Durrmeyer Type Operators Depending on Certain Parameters

Neha Malik, Serkan Araci, and Man Singh Beniwal

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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.

Article information

Abstr. Appl. Anal. Volume 2017 (2017), Article ID 5316150, 9 pages.

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

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Malik, Neha; Araci, Serkan; Beniwal, Man Singh. Approximation of Durrmeyer Type Operators Depending on Certain Parameters. Abstr. Appl. Anal. 2017 (2017), Article ID 5316150, 9 pages. doi:10.1155/2017/5316150. https://projecteuclid.org/euclid.aaa/1497578544.

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