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On some new seminormed sequence spaces defined by modulus functions

On some new seminormed sequence spaces defined by modulus functions

In this paper we introduce the sequence spaces $\ell _{\infty }(f,p,\sigma ,q,s),c_{0}(f,p,\sigma ,q,s)$ and $c(f,p,\sigma ,q,s)$ using a modulus function $f$ and defined over a seminormed space$(X,q)$, seminormed by $q$. We study some properties of these sequence spaces and obtain some inclusion relations.