Orlicz spaces and its generalizations
Al Azhary Masta, Siti Fatimah, Cece Kustiawan, Encum Sumiaty, Endang Cahya M. A.

1Mathematics Study Program, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia

Abstract

Orlicz space is one of the generalizations of Lebesgue space. The study of Orlicz space has been done by several researchers, including the generalization of these space and some properties of the space. In this research, we will explain the generalization of these space and Holder^s inequality, especially the sharpening of Holder^s inequality on the space. One of the key proofs of our results is by using s-convex functions.

Keywords: Orlicz spaces, Generalization of Orlicz spaces, s-convex function, holder^s inequality

Topic: Minisymposia Fourier Analysis and Integral Operators