Generalized σ-convergent difference sequence spaces defined by Orlicz function

Abstract

In this paper, we introduce the sequence space $V_{\sigma}(M,p,r,\triangle^{u})$, where $u\in N$, $M$ is an Orlicz function, $p=(p_{m})$ is any sequence of strictly positive real numbers and $r\geq0$ and study some of the properties and inclusion relations that arise on the said space.