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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Sofihara Al Hazmy
Mathematics Study Program, Universitas Pendidikan Indonesia, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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GENERALIZED ORLICZ SEQUENCE SPACES Cece Kustiawan; Al Azhary Masta; Dasep Dasep; Encum Sumiaty; Siti Fatimah; Sofihara Al Hazmy
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (438.975 KB) | DOI: 10.30598/barekengvol17iss1pp0427-0438

Abstract

Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces. Some of the properties that apply to continuous Orlicz spaces are known, as are Orlicz sequence spaces. This study aims to construct new Orlicz sequence spaces by replacing a function in the Orlicz sequence spaces with a wider function. In addition, this study also aims to show that the properties of the Orlicz sequence spaces still apply to the new Orlicz sequence spaces under different conditions. The method in this research uses definitions and properties that apply to the Orlicz sequence spaces in the previous study and uses the -Young function in these new Orlicz sequence spaces. Furthermore, the results of the study show that the new Orlicz sequence spaces are an extension of the Orlicz sequence spaces in the previous study. And with the characteristics of the -Young function, it shows that the properties of the Orlicz sequence spaces still apply.
Co-Authors Al Azhary Masta Cece Kustiawan Dasep Dasep Encum Sumiaty Siti Fatimah