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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