On asymptotically ideal equivalent sequences | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 1, 2015, Page 67-72 PDF (440.4 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.01.011 | ||||
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Author | ||||
Bipan Hazarika* | ||||
Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh 791112, Arunachal Pradesh, India | ||||
Abstract | ||||
In this article we introduce the notion of asymptotically I-equivalent sequences. We prove the decomposition theorem for asymptotically I-equivalent sequences. Further, we will present four theorems that characterize asymptotically I-equivalent of multiple k and the regularity of asymptotically I-convergence by using a sequence of infinite matrices. | ||||
Keywords | ||||
Ideal; I-convergence; Asymptotically equivalent sequence | ||||
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