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

Authors : Kuldip RAJ, Renu ANAND

Pages : 56-69

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Publication Date : 2016-10-01

Article Type : Research Paper

Abstract :In this paper we introduce new difference sequence spaces $r^{q}insert ignore into journalissuearticles values(\mathcal{M},\\ \Delta^{m}_{n},u,p);$ 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