On asymptotically ideal equivalent sequences | ||
Journal of the Egyptian Mathematical Society | ||
Volume 23, Issue 1, 2015, Pages 67-72 PDF (440.4 K) | ||
Document Type: Original Article | ||
DOI: 10.1016/j.joems.2014.01.011 | ||
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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