SOME DOUBLE SEQUENCE SPACES DEFINED BY A SEQUENCE OF ORLICZ FUNCTIONS OVER n-NORMED SPACES

Kuldip Raj; Sunil K. Sharma; Ajay K. Sharma

doi:10.32219/isms.77.1_69

Kuldip Raj, Sunil K. Sharma, Ajay K. Sharma

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Keywords: Paranorm space, Difference sequence space, Orlicz function, Musielak-Orlicz function, n-normed space

JOURNAL FREE ACCESS

2014 Volume 77 Issue 1 Pages 69-81

DOI https://doi.org/10.32219/isms.77.1_69

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Abstract

In the present paper we introduce some double sequence spaces defined by a sequence of Orlicz functionsM= (Mk,l) over n-normed spaces. We study some topological properties and prove some inclusion relations between these spaces.

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