On paranorm BVσ I-convergent double sequence spaces defined by an Orlicz function

The space BVσ was introduced and studied by Mursaleen [21]. In the present article we study the double sequence spaces 2(0BVI σ(M, p)), 2BVI σ(M, p) and 2(∞BVI σ(M, p)) with the help of the space BVσ and an Orlicz function M, where p = (pij) is the double sequence of strictly positive real numbers. We study some of its properties and prove some inclusion relations related to these new spaces. © 2017 Walter de Gruyter GmbH, Berlin/Boston.