BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications

GENERALIZED ORLICZ SEQUENCE SPACES

Cece Kustiawan (Mathematics Study Program, Universitas Pendidikan Indonesia, Indonesia)
Al Azhary Masta (Mathematics Study Program, Universitas Pendidikan Indonesia, Indonesia)
Dasep Dasep (Mathematics Study Program, Universitas Pendidikan Indonesia, Indonesia)
Encum Sumiaty (Mathematics Study Program, Universitas Pendidikan Indonesia, Indonesia)
Siti Fatimah (Mathematics Study Program, Universitas Pendidikan Indonesia, Indonesia)
Sofihara Al Hazmy (Mathematics Study Program, Universitas Pendidikan Indonesia, Indonesia)



Article Info

Publish Date
20 Apr 2023

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.

Copyrights © 2023






Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...