Acta Mathematica Vietnamica


On λ-ideal convergent interval valued difference classes defined by Musielak–Orlicz function
Bipan Hazarika



An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In this paper, using λ-ideal convergence as a variant of the notion of ideal convergence, the difference operator Δ n and Musielak–Orlicz functions, we introduce and examine some generalized difference sequences of interval numbers, where λ=(λ m ) is a nondecreasing sequence of positive real numbers such that λ m+1λ m +1,λ1=1,λ m →∞(m→∞). We prove completeness properties of these spaces. Further, we investigate some inclusion relations related to these spaces.

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