On some generalised I-convergent sequence spaces of double interval numbers

Year 2016, Volume: 4 Issue: 2, 125 - 137, 01.03.2016

Vakeel A. Khan , Ayhan Esi Yasmeen Yasmeen Hira Fatima

https://izlik.org/JA82EU47EN

Abstract

In this article we introduce and study some spaces of I-convergent sequences of double interval numbers with the help of a  double sequence F = ( fi, j) of modulii and double bounded sequence p = (pi, j) of positive real numbers. We study some topological  and algebraic properties, prove the decomposition theorem and study some inclusion relations on these spaces.

Keywords

Double interval numbers , ideal , filter , double I-convergent sequence spaces , solid and monotone space , Banach space

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