A new type of Zweier \(\mathcal{I}\)-asymptotically lacunary statistically equivalent sequences

Volume 21, Issue 4, pp 344--356 http://dx.doi.org/10.22436/jmcs.021.04.07
Publication Date: May 22, 2020 Submission Date: February 09, 2020 Revision Date: March 29, 2020 Accteptance Date: April 14, 2020

Authors

Vakeel A. Khan - Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India. Abdullah A. H. Makharesh - Department of Mathematics, Hadhramout University, Almahra, Yemen. Masood Alam - Department of Mathematics and IT Center for Preparatory Studies, Sultan Qaboos University, P. O. Box 162-PC, 123 Al Khoud Muscat, Sultanate of Oman. Kamal M. A. S. Alshlool - Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India. Sameera A. A. Abdullah - Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India.


Abstract

In this article, by means of the Zweier matrix domain and modulus function we define and introduce some new definitions related to asymptotically equivalence for set sequences (Wijsman sense) in a metric space \((X,\rho)\) with respect to the ideal \(\mathcal{I}\) of subset of natural numbers \(\mathbb{N}\). In addition, we examine some results on these definitions.


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ISRP Style

Vakeel A. Khan, Abdullah A. H. Makharesh, Masood Alam, Kamal M. A. S. Alshlool, Sameera A. A. Abdullah, A new type of Zweier \(\mathcal{I}\)-asymptotically lacunary statistically equivalent sequences, Journal of Mathematics and Computer Science, 21 (2020), no. 4, 344--356

AMA Style

Khan Vakeel A., Makharesh Abdullah A. H., Alam Masood, Alshlool Kamal M. A. S., Abdullah Sameera A. A., A new type of Zweier \(\mathcal{I}\)-asymptotically lacunary statistically equivalent sequences. J Math Comput SCI-JM. (2020); 21(4):344--356

Chicago/Turabian Style

Khan, Vakeel A., Makharesh, Abdullah A. H., Alam, Masood, Alshlool, Kamal M. A. S., Abdullah, Sameera A. A.. "A new type of Zweier \(\mathcal{I}\)-asymptotically lacunary statistically equivalent sequences." Journal of Mathematics and Computer Science, 21, no. 4 (2020): 344--356


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