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Research Article Open access CC BY 4.0

Ideally Statistical Convergence in n-normed Space

Nazneen Khan, Amani Shatarah

Journal of Advances in Mathematics and Computer Science · pp. 75–84 · Published 3 Oct 2020

10.9734/jamcs/2020/v35i730305

Abstract

The aim of the article is to extend the concept of Ideally statistical convergence from 2 normed spaces to n-normed space. We have also study and prove some important algebraic and topological properties of Ideally-statistical convergence of real sequences in n-normed space. In the last part of this article we obtain a criterion for I-statistically Cauchy sequence in n-normed space to be I-statistically Cauchy with respect to ∥.∥∞.

Statistical convergence Ideal convergence Filter statistically Cauchy sequence real sequences n-normed space.

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