On certain class of σ-convergent sequence spaces defined by Orlicz function

Abstract

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