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http://dx.doi.org/10.5666/KMJ.2014.54.1.73

Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz Function  

Raj, Kuldip (School of Mathematics Shri Mata Vaishno Devi University Katra-182320)
Sharma, Sunil K. (School of Mathematics Shri Mata Vaishno Devi University Katra-182320)
Gupta, Amit (School of Mathematics Shri Mata Vaishno Devi University Katra-182320)
Publication Information
Kyungpook Mathematical Journal / v.54, no.1, 2014 , pp. 73-86 More about this Journal
Abstract
In the present paper we introduce difference paranormed sequence spaces $c_0(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$, $c(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$ and $l_{\infty}(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$ defined by a Musielak-Orlicz function $\mathcal{M}$ = $(M_k)$ over n-normed spaces. We also study some topological properties and some inclusion relations between these spaces.
Keywords
Paranorm space; difference sequence spaces; Orlicz function; Musielak-Orlicz function; solid; monotone etc;
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