Some classes of sequence spaces defined by a Musielak-Orlicz function

Abstract

In the present paper we introduce the sequence spaces c0{ℳ, Λ , p, q}, c{ℳ, Λ, p, q} and l∞ {ℳ, Λ, p, q} defined by a Musielak-Orlicz function ℳ = (ℳk). We study some topological properties and prove some inclusion relations between these spaces.

Keywords

• orlicz function
• musielak-orlicz function
• paranorm space
• sequence space
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