An Orlicz extension of difference modular sequence spaces

Abstract

In this paper we construct some difference new modular sequence spaces defined by a sequence of Orlicz functions over n-normed spaces. We also study several properties relevant to topological structures and interrelationship between these spaces.

On some new difference λ - sequence spaces of p - absolute type

“…The approach constructing a new difference sequence space by means of the matrix domain of a particular triangle has recently been employed by several authors, see for example [1,2,3,4,5,6,7,9,10,13,14,15,16,17,18,19] and [21]. In the present paper, following [13,14] and [15], we will introduce the difference λ-sequence spaces ℓ λ p (∆) for 1 ≤ p < ∞ and deduce some related results.…”