Geodesic
Defining some new $n$-tuple sequence spaces related to $l_p$ space with the help of Orlicz function
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1.

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In this paper, we introduce and study the $n$-sequence space $l_\infty^n(M,q)$ and $m^n(M,\phi,q)$ by using the Orlicz function $M$. We show that the spaces are seminormed and $m^n(M,\phi,q)$ is complete. The inclusion relations involving the spaces have also been obtained. Further, we relate the space $m^n(M,\phi,q)$ to $p$-summable spaces.
Publié le :
DOI : 10.30755/NSJOM.10004
Classification : 40H05, 14B05, 46E30
Keywords: n-sequence, Orlicz function, seminormed space 
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     title = {Defining some new $n$-tuple sequence spaces related to $l_p$ space with the help of {Orlicz} function},
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Ruqaiyya Fatma; Sabiha Tabassum. Defining some new $n$-tuple sequence spaces related to $l_p$ space with the help of Orlicz function. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1. doi : 10.30755/NSJOM.10004. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10004/

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