Strongly almost $(V,\lambda)(\Delta^{r})$-summable sequences defined by Orlicz functions

Abstract

The purpose of this paper is to introduce the space of sequences that are strongly almost $(V,\lambda) (\Delta ^{r})$-$summable with respect to an Orlicz function. We give some relations related to these sequence spaces. We also show that the space }$[ \hat{V},\lambda ,M] (\Delta ^{r})\cap \ell _{\infty}(\Delta ^{r})$ may be represented as a $\hat{s}_{\lambda}(\Delta ^{r})\cap $ $\ell _{\infty }(\Delta ^{r})$ space.