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

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

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

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

  1. W. Orlicz, Linear Functional Analysis, World Scientific, London, 1992.
  2. H. Hudzik, A. Kaminska, and W. Kurc,Uniformly non-ln 1Musielak-Orlicz Spaces, Bull. Acad. Polon. Sci. Math., 35, 7-8, pp. 441-448, 1987.
  3. H. Hudzik, and S. Chen, On Some Convexities of Orlicz and Orlicz-Bochner Spaces, Comment. Math., Univ. Carolinae 029 No. 1, pp. 13-29, 1988.
  4. P. Kolwicz, and R. Pluciennik, P-convexity of Musielak-Orlicz Function Spaces of Bochner Type, Revista Matematica Complutense Vol. 11 No. 1. 1998.
  5. Y. Yining, and H. Yafeng, P-convexity property in Musielak-Orlicz sequence spaces, Collect. Math. 44, pp. 307-325, 2008.
  6. D.P. Giesy, On a Convexity Condition in Normed Linear Spaces, Transactions of the American Mathematical Society Vol. 125 No. 1, pp. 114-146, 1966.
  7. P. Kolwicz, and R. Pluciennik, On P-convex Musielak-Orlicz Spaces, Comment. Math., Univ . Carolinae 36, pp. 655-672, 1995.
  8. P. Kolwicz, and R. Pluciennik, P-convexity of Bochner-Orlicz Spaces, Proc. Amer. Math. Soc.,
  9. P. Kolwicz and R. Pluciennik, P-convexity of Musielak-Orlicz Sequence Spaces of Bochner Type, Collect. Math. 1997.

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ISSN: 2614-6487 (Print)
ISSN: 2460-4453 (Online)

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