P-Convexity Property in Musielak-Orlicz Function Space of Bohner Type

Yulia Romadiastri

doi:10.21580/jnsmr.2017.3.1.1728

P-Convexity Property in Musielak-Orlicz Function Space of Bohner Type

* - Mathematics Education Department, Faculty of Sains and Technology, Universitas Islam Negeri Walisongo, Central Java, Indonesia

(*) Corresponding Author

DOI: 10.21580/jnsmr.2017.3.1.1728

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In this paper, we described about Musielak-Orlicz function spaces of Bochner type. It has been obtained that Musielak-Orlicz function space $L_\phi(\mu,X)$ of Bochner type becomes a Banach space. It is described also about P-convexity of Musielak-Orlicz function space $L_\phi(\mu,X)$ of Bochner type. It is proved that the Musielak-Orlicz function space $L_\phi(\mu,X)$ of Bochner type is P-convex if and only if both spaces $L_\phi$ and X are P-convex.©2017 JNSMR UIN Walisongo. All rights reserved.

Keywords: Musielak-Orlicz Function; Musielak-Orlicz Functio; Bochner type; PConvex

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