Triple rough statistical convergence of sequence of Bernstein operators

Esi, Ayten; Subramanian, N.; Esi, Ayhan

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 2 (February 2017), Pages: 28-34

Title: Triple rough statistical convergence of sequence of Bernstein operators

Author(s): Ayten Esi ^1, *, N. Subramanian ², Ayhan Esi ¹

Affiliation(s):

¹Adiyaman University, Science and Arts Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
²Department of Mathematics, SASTRA University, Thanjavur-613 401, India

https://doi.org/10.21833/ijaas.2017.02.005

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Abstract:

In this paper, using the concept of natural density, we introduce the notion of Bernstein operator of rough statistical convergence of triple sequence. We define the set of Bernstein operator of rough statistical limit points of a triple sequence spaces and obtain Bernstein operator of statistical convergence criteria associated with this set. Later, we prove that this set is closed and convex and also examine the relations between the set of Bernstein operator of rough statistical cluster points and the set of Bernstein operator of rough statistical limit points of a triple sequences.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Rough statistical convergence, Natural density, Triple sequences

Article History: Received 24 November 2016, Received in revised form 26 January 2017, Accepted 26 January 2017

Digital Object Identifier:

https://doi.org/10.21833/ijaas.2017.02.005

Citation:

Esi A, Subramanian N, and Esi A (2017). Triple rough statistical convergence of sequence of Bernstein operators. International Journal of Advanced and Applied Sciences, 4(2): 28-34

http://www.science-gate.com/IJAAS/V4I2/Esi.html

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