Abstract:
An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. A sequence (x(k)) of real numbers is said to be I - convergent to a real number l, if for each epsilon > 0 the set {k : vertical bar x(k) - l vertical bar >= epsilon} belongs to I. In this paper, using ideal convergence, the difference operator Delta(m) and Orlicz functions, we introduce and examine some generalized difference sequences of interval numbers. We prove completeness properties of these spaces. Further, we investigate some inclusion relations related to these spaces.
