Strongly almost (V, ?)(?r)-summable sequences defined by Orlicz functions

Abstract

The purpose of this paper is to introduce the space of sequences that are strongly almost (V, ?)(?r)-summable with respect to an Orlicz function. We give some relations related to these sequence spaces. We also show that the space. [V, ?, M](?r) ? l? (?r) may be represented as a ?? (?r) ? l? (?r) space. © 2006 by the University of Notre Dame. All rights reserved.