On Tribonacci \(I\)-convergent sequence spaces

Volume 24, Issue 3, pp 225--234 http://dx.doi.org/10.22436/jmcs.024.03.04
Publication Date: February 23, 2021 Submission Date: January 06, 2021 Revision Date: January 25, 2021 Accteptance Date: January 31, 2021

Authors

Vakeel A. Khan - Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. Izhar Ali Khan - Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. SK Ashadul Rahaman - Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. Ayaz Ahmad - Department of Mathematics, National Institute of Technology, Patna-800005, India.


Abstract

In this paper, we use the notion of ideal convergence (\(I\)-convergence) to introduce Tribonacci \(I\)-convergent sequence spaces, that is, \(c_{_{0}}^{I} (T), c_{_{}}^{I} (T) \) and \(l_{_{\infty}}^{I} (T)\) as a domain of regular Tribonacci matrix \(T=(t_{jn})\) (constructed by the Tribonacci sequence). We also present few inclusion relations and prove some topological and algebraic properties based results with respect to these spaces.


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ISRP Style

Vakeel A. Khan, Izhar Ali Khan, SK Ashadul Rahaman, Ayaz Ahmad, On Tribonacci \(I\)-convergent sequence spaces, Journal of Mathematics and Computer Science, 24 (2022), no. 3, 225--234

AMA Style

Khan Vakeel A., Khan Izhar Ali, Rahaman SK Ashadul, Ahmad Ayaz, On Tribonacci \(I\)-convergent sequence spaces. J Math Comput SCI-JM. (2022); 24(3):225--234

Chicago/Turabian Style

Khan, Vakeel A., Khan, Izhar Ali, Rahaman, SK Ashadul, Ahmad, Ayaz. "On Tribonacci \(I\)-convergent sequence spaces." Journal of Mathematics and Computer Science, 24, no. 3 (2022): 225--234


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