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Proyecciones (Antofagasta)
versión impresa ISSN 0716-0917
Proyecciones (Antofagasta) vol.39 no.2 Antofagasta abr. 2020
http://dx.doi.org/10.22199/issn.0717-6279-2020-02-0016
Artículos
On rough convergence of triple sequence space of Bernstein operator of fuzzy numbers defined by a metric
1Hindustan Institute of Technology and Science, Dept. of Mathematics, Chennai, TN, India, e-mail: jeyarambharathi@yahoo.com
2Hindustan Institute of Technology and Science, Dept. of Mathematics, Chennai, TN, India, e-mail: ksvelmurugan.09@gmail.com
3SASTRA University, Dept. of Mathematics, Thanjavur, TN, India, e-mail: nsmaths@gmail.com
4SASTRA University, Dept. of Mathematics, Thanjavur, TN, India, e-mail: srikanth.sresam@gmail.com
We define the concept of rough limit set of a triple sequence space of Bernstein polynomials of fuzzy numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of Bernstein polynomials of fuzzy numbers. Finally, we investigate some properties of the rough limit set of Bernstein polynomials.
Keywords: Triple sequences; Rough convergence; Closed and convex; Cluster points and rough limit points; Fuzzy numbers; Bernstein polynomials
Acknowledgement
The authors are extremely grateful to the anonymous learned referee(s) for their keen reading, valuable suggestion and constructive comments for the improvement of the manuscript. The authors are thankful to the editor(s) and reviewers of Proyecciones Journal of Mathematics.
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Received: February 28, 2018; Accepted: March 30, 2018
This is an open-access article distributed under the terms of the Creative Commons Attribution License
