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

Abstract

An ideal I is a family of subsets of positive integers \(\mathbb{N}\) 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 Δn and Musielak–Orlicz functions, we introduce and examine some generalized difference sequences of interval numbers, where λ=(λm) is a nondecreasing sequence of positive real numbers such that λm+1≤λm+1,λ1=1,λm→∞(m→∞). We prove completeness properties of these spaces. Further, we investigate some inclusion relations related to these spaces.