A refinement to Generalized Holder^s Inequality on Orlicz Spaces
Al Azhary Masta1, Sofihara Al Hazmy2, Siti Fatimah3, Rian Dermawan4

1,3,4Department of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia

2Faculty of Military Mathematics and Science, Universitas Pertahanan Republik Indonesia, Kawasan IPSC Sentul, Sukahati, Bogor, Jawa Barat 16810

Abstract

Orlicz spaces is a generalization of Lebesgue spaces. Many authors have studied Orlicz spaces, for example Holder^s inequality on those spaces. The aim of this research is given a new sufficient condition for a refinement generalized Holders inequality on Orlicz spaces. Especially, we discuss the sharpening generalized Holder^s inequality on Orlicz spaces. One of the keys to prove our results is to use some properties of Young function and its invers. Based on our result, we have sharpening generalized Holder^s inequalities on Orlicz spaces.

Keywords: Orlicz spaces, Holder^s inequality, sharpening Holder^s inequality

Topic: Mathematics