On the ideal convergence of subsequences and rearrangements of a real sequence

In this article, we investigate the ideal convergence of subsequences and rearrangements of a real sequence. We also study some properties of the concepts of IφIφ-continuity, the IφIφ-limit point and the IφIφ-cluster point, where IφIφ is the family of sets which have φφ-density zero.