Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2011.08.18
  • Accepted : 2012.08.22
  • Published : 2014.03.23
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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.

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References

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