Sifat P-Konveks pada ruang fungsi musielak-orlicz tipe bochner

ROMADIASTRI, Yulia, Dr. Supama, M.Si

2010 | Tesis | S2 Matematika

Di dalam tesis ini dijelaskan tentang ruang fungsi Musielak-Orlicz tipe Bochner. Ditemukan bahwa ruang fungsi Musielak-Orlicz L (simbol)(simbol), X (simbol)(simbol) tipe Bochner merupakan ruang Banach. Dijelaskan juga tentang sifat P-konveks pada ruang fungsi Musielak- Orlicz L (simbol)(simbol), X (simbol)(simbol) tipe Bochner. Dibuktikan bahwa ruang fungsi Musielak-Orlicz L (simbol)(simbol)X(simbol)(simbol) tipe Bochner P-konveks jika dan hanya jika ruang fungsi Musielak-Orlicz L(simbol) dan ruang Banach X keduanya juga P-konveks.

In this thesis, we described about Musielak-Orlicz function spaces of Bochner type. It has been obtained that Musielak-Orlicz function space L (simbol)(simbol), X (simbol)(simbol) of Bochner type becomes a Banach space. It is described also about P-convexity of Musielak-Orlicz function space L (simbol)(simbol), X (simbol)(simbol) of Bochner type. It is proved that the Musielak-Orlicz function space L (simbol)(simbol), X (simbol)(simbol) of Bochner type is P-convex if and only if both spaces L(simbol) and X are Pconvex

Kata Kunci : Fungsi Musielak,Orlicz tipe Bochner,Sifat P,Konveks