Some sequence spaces of Invariant means and lacunary defined by a Musielak-Orlicz function over $n$-normed spaces

Abstract

In the present paper we introduce some sequence spaces combining lacunary sequence, invariant means over $n$-normed spaces defined by Musielak-Orlicz function $\mathcal{M} = (M_{k})$. We study some topological properties and also prove some inclusion results between these spaces.