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http://dx.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  

Mursaleen, M. (Department of Mathematics, Cluster University of Jammu)
Sharma, Sunil K. (Department of Mathematics, Cluster University of Jammu)
Qamaruddin, Qamaruddin (Department of mathematics, College of Arts & Science, Al-Abyar, Benghazi University)
Publication Information
Korean Journal of Mathematics / v.29, no.2, 2021 , pp. 211-225 More about this Journal
Abstract
In the present paper we introduce some sequence spaces over n-normed spaces defined by fractional difference operator and Musielak-Orlicz function 𝓜 = (𝕱i). We also study some topological properties and prove some inclusion relations between these spaces.
Keywords
Orlicz function; Musielak-Orlicz function; Lacunary sequence; n-normed spaces; paranorm space; fractional difference operator;
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