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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10549
Title: Q-Bernstein-Schurer-Durrmeyer type operators for functions of one and two variables
Authors: Kajla A.
Ispir N.
Agrawal P.N.
Goyal M.
Published in: Applied Mathematics and Computation
Abstract: The purpose of this paper is to obtain some direct results for the Durrmeyer variant of q-Bernstein-Schurer operators for functions of one variable introduced by Acu et al. [1]. We also propose to study the bivariate extension of these operators and discuss the rate of convergence by using the modulus of continuity, the degree of approximation for the Lipschitz class of functions and the Voronovskaja type asymptotic theorem. Furthermore, we show the convergence of the operators by illustrative graphics in Maple to certain functions in both one and two dimensional cases. © 2015 Elsevier Inc. All rights reserved.
Citation: Applied Mathematics and Computation (2016), 275(): 372-385
URI: https://doi.org/10.1016/j.amc.2015.11.048
http://repository.iitr.ac.in/handle/123456789/10549
Issue Date: 2016
Publisher: Elsevier Inc.
Keywords: Degree of approximation
Lipschitz type class
Modulus of continuity
q-Bernstein-Schurer operators
Rate of convergence
ISSN: 963003
Author Scopus IDs: 56111875900
16309774600
15135210300
56448147500
Author Affiliations: Kajla, A., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Ispir, N., Department of Mathematics, Sciences and Arts Faculty, Gazi University, Ankara, 06500, Turkey
Agrawal, P.N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Goyal, M., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Funding Details: The last author is thankful to the “ Council of Scientific and Industrial Research †India for financial support to carry out the above research work.
Corresponding Author: Goyal, M.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email: meenu.goyal700@gmail.com
Appears in Collections:Journal Publications [MA]

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