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

Year 2016, Volume: 4 Issue: 2, 56 - 69, 01.10.2016

Kuldip Raj Renu Anand

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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