Strongly almost $(w, \lambda)$-summable sequences defined by Orlicz functions

Abstract

The purpose of this paper is to introduce the spaces of sequences that are strongly almost $(w, \lambda)$-summable with respect to an Orlicz function. We give some relations related to these sequence spaces. It is also shown if a sequence is strongly $(w, \lambda)$-summable with respect to an Orlicz function, then it is $\bar{S}_{\lambda}$-statistically convergent.