A new type of Zweier \(\mathcal{I}\)-asymptotically lacunary statistically equivalent sequences
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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
Keywords
- Zweier matrix
- Wijsman asymptotically equivalence
- modulus function
- lacunary sequence
MSC
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