Abstract
The double sequence space 2BV sigma was introduced by Khan and Tabassum (Commun Fac Sci 60:11-21, 2011) as an interesting generalization of BV sigma introduced by Mursaleen (Quart J Math Oxford 34(2):77-86, 1983). In this paper we defined 2BV sigma I (p) where p = (p(jk)) a sequence of positive real numbers using the notion of ideals in double sequence spaces. Further we study the topological properties and some inclusion relations on this space.