Defining some new $n$-tuple sequence spaces related to $l_p$ space with the help of Orlicz function


Ruqaiyya Fatma, Sabiha Tabassum




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.