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

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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