On the 2-normed Orlicz space

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Muh Nur, Al Azhary Masta, Mawardi Bahri, Firman, Anna Islamiyati

2024 International Journal of Mathematics and Computer Science Vol. 19 Issue 4 Article Cited by 2 SDG 9SDG 17 Quartile

Abstract

We study the Orlicz space L_(X) that is equipped with a 2-norm. This can be viewed as a generalization of the usual norm in the Orlicz space L_(X). Using a derived norm that is obtained from the 2-norm, we show that L_(X) is complete with respect to the 2-norm. © (2024) All Rights Reserved.

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Science, Hasanuddin University, Makassar, Indonesia; Department of Mathematics Education, Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia, Bandung, Indonesia; Department of Statistics, Faculty of Mathematics and Natural Science, Hasanuddin University, Makassar, Indonesia

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