Korean J. Math. Vol. 29 No. 2 (2021) pp.211-225
DOI: https://doi.org/10.11568/kjm.2021.29.2.211

Some sequence spaces over $n$-normed spaces defined by fractional difference operator and Musielak-Orlicz function

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Published: Jun 30, 2021
Keywords:
Orlicz function, Musielak-Orlicz function, Lacunary sequence, $n$-normed spaces, paranorm space, fractional difference operator.
Mathematics Subject Classification:
40A05, 40C05, 46A45, 46A30.

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M. Mursaleen
Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan
Sunil K. Sharma
Department of Mathematics, Cluster University of Jammu -180001, J & K, India.
S. Qamaruddin
Department of mathematics, College of Arts & Science, Al-Abyar, Benghazi University, Libya

Abstract

In the present paper we introduce some sequence spaces over $n$-normed spaces defined by fractional difference operator and Musielak-Orlicz function $\mathcal{M} = (\mathfrak{F}_i)$. We also study some topological properties and prove some inclusion relations between these spaces.



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