- Konuralp Journal of Mathematics
- Vol: 4 Issue: 2
- ON SOME NEW DIFFERENCE SEQUENCE SPACES DERIVED BY USING RIESZ MEAN AND A MUSIELAK-ORLICZ FUNCTION
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 : 2016-10-15
Article Type : Research
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