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

• Journal title : Kyungpook mathematical journal
• Volume 54, Issue 1,  2014, pp.73-86
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2014.54.1.73
Title & Authors
Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz Function
Raj, Kuldip; Sharma, Sunil K.; Gupta, Amit;

Abstract
In the present paper we introduce difference paranormed sequence spaces $\small{c_0(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})}$, $\small{c(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})}$ and $\small{l_{\infty}(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})}$ defined by a Musielak-Orlicz function $\small{\mathcal{M}}$ = $\small{(M_k)}$ 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;
Language
English
Cited by
1.
On certain spaces of double sequences by de la Vallée-Poussin mean, Asian-European Journal of Mathematics, 2015, 08, 04, 1550079
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