Research Article
Several Properties of Discrete Orlicz Spaces
@INPROCEEDINGS{10.4108/eai.12-10-2019.2296392, author={Pradipta Swiantana Prayoga and Siti Fatimah and Al Azhary Masta}, title={Several Properties of Discrete Orlicz Spaces}, proceedings={Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia}, publisher={EAI}, proceedings_a={MSCEIS}, year={2020}, month={7}, keywords={lebesgue spaces continuous orlicz spaces discrete orlicz spaces}, doi={10.4108/eai.12-10-2019.2296392} }- Pradipta Swiantana Prayoga
Siti Fatimah
Al Azhary Masta
Year: 2020
Several Properties of Discrete Orlicz Spaces
MSCEIS
EAI
DOI: 10.4108/eai.12-10-2019.2296392
Abstract
Introduced by Z. W. Birnbaum and W. Orlicz in 1931, Orlicz spaces are a generalization of the Lebesgue spaces. There are two kinds version of Orlicz spaces which are continuous Orlicz spaces denoted by L and discrete Orlicz spaces denoted by l. The properties of L spaces are already known. The aim of this study is to discuss the properties of discrete Orlicz spaces. We will see that the properties of continuous Orlicz spaces are also valid in discrete Orlicz spaces. Methods in this research are by using the properties of Young function and Luxemburg Norm. The result of this research is to show that several properties of continuous Orlicz space are also valid in discrete Orlicz spaces.
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