ON SOME NEW DIFFERENCE SEQUENCE SPACES DERIVED BY USING RIESZ MEAN AND A MUSIELAK-ORLICZ FUNCTION

Abstract

In this paper we introduce new difference sequence spaces $r^{q}(\mathcal{M},\\ \Delta^{m}_{n},u,p)$ by using Riesz mean and Musielak-Orlicz function. We also make an effort to study some topological properties and compute $\alpha-,\beta-$ and $ \gamma- $ duals of these spaces. Finally, we study matrix transformations on newly formed spaces.

Keywords

• sequence space of non-absolute type,Musielak-Orlicz function,paranorm space,matrix transformations

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