Siti Fatimah, Rian Dermawan, Sofihara Al Hazmy, Al Azhary Masta
As it is well known that Orlicz space is a generalization of Lebesgue space. The Orlicz space has been extensively studied by many researchers, for example generalized Orlicz spaces. In this study, we discuss the structure of generalized Orlicz spaces on Rn. Principally, we construct the definition of generalized Orlicz spaces and generalized weak Orlicz spaces using another way. First we present the definition of generalized Young function. Next, we also obtain generalized Orlicz spaces and generalized weak Orlicz spaces. To obtain our results, we use the generalized Young function. Based on our result, we have have new definition of generalized Orlicz spaces and their weak type. © 2023 Author(s).
Mathematics Study Program, Universitas Pendidikan Indonesia, Bandung, Indonesia; Faculty of Military Mathematics and Science, Universitas Pertahanan Republik Indonesia, Bogor, Indonesia
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