Generalized Young Function Rian Dermawan1, Siti Fatimah2, Al Azhary Masta3, Sofihara Al Hazmy4
1,2,3Department of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, Indonesia
4Faculty of Military Mathematics and Science, Universitas Pertahanan Republik Indonesia, Kawasan IPSC Sentul, Sukahati, Bogor, Jawa Barat 16810
Abstract
The convex function is one of the most widely discussed functions in Mathematics. Many topics in mathematics using Young function, for example for constructing the Orlicz space. The purpose of this study is to construct a generalization of Young function. The method used in this study is using convex-s to define generalize Young function. Based on our result, it is expected to be a bridge in constructing the generalized Orlicz space.
Keywords: Convex function, s-convex function, m-convex function, Young function