I_λ - Statistically convergent n-sequence space of order α defined by Orlicz function

Abstract

In this paper, we defined $I_{\lambda}$ - convergent $n$-sequence spaces of order $\alpha$ and established some inclusion relations between them. Some basic concepts of statistical and ideal convergence from ordinary(single) sequences to $n$-statistically sequences has also been extended. We use this notion to define some more related $n$-sequence spaces defined by Orlicz function and certain properties of these $n$-sequence spaces has been discussed.