GENERALIZED ORLICZ SEQUENCE SPACES
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 sequ...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2023-04-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7481 |
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| author | Cece Kustiawan Al Azhary Masta Dasep Dasep Encum Sumiaty Siti Fatimah Sofihara Al Hazmy |
| author_facet | Cece Kustiawan Al Azhary Masta Dasep Dasep Encum Sumiaty Siti Fatimah Sofihara Al Hazmy |
| author_sort | Cece Kustiawan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c7f2c29ed961469e8360e02dbc43c635 |
| institution | DOAJ |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2023-04-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-c7f2c29ed961469e8360e02dbc43c6352025-08-20T03:05:38ZengUniversitas PattimuraBarekeng1978-72272615-30172023-04-011710427043810.30598/barekengvol17iss1pp0427-04387481GENERALIZED ORLICZ SEQUENCE SPACESCece Kustiawan0Al Azhary Masta1Dasep Dasep2Encum Sumiaty3Siti Fatimah4Sofihara Al Hazmy5Mathematics Study Program, Universitas Pendidikan Indonesia, IndonesiaMathematics Study Program, Universitas Pendidikan Indonesia, IndonesiaMathematics Study Program, Universitas Pendidikan Indonesia, IndonesiaMathematics Study Program, Universitas Pendidikan Indonesia, IndonesiaMathematics Study Program, Universitas Pendidikan Indonesia, IndonesiaMathematics Study Program, Universitas Pendidikan Indonesia, IndonesiaOrlicz 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.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7481s-convex functions-young functionsequence orlicz spaces |
| spellingShingle | Cece Kustiawan Al Azhary Masta Dasep Dasep Encum Sumiaty Siti Fatimah Sofihara Al Hazmy GENERALIZED ORLICZ SEQUENCE SPACES Barekeng s-convex function s-young function sequence orlicz spaces |
| title | GENERALIZED ORLICZ SEQUENCE SPACES |
| title_full | GENERALIZED ORLICZ SEQUENCE SPACES |
| title_fullStr | GENERALIZED ORLICZ SEQUENCE SPACES |
| title_full_unstemmed | GENERALIZED ORLICZ SEQUENCE SPACES |
| title_short | GENERALIZED ORLICZ SEQUENCE SPACES |
| title_sort | generalized orlicz sequence spaces |
| topic | s-convex function s-young function sequence orlicz spaces |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7481 |
| work_keys_str_mv | AT cecekustiawan generalizedorliczsequencespaces AT alazharymasta generalizedorliczsequencespaces AT dasepdasep generalizedorliczsequencespaces AT encumsumiaty generalizedorliczsequencespaces AT sitifatimah generalizedorliczsequencespaces AT sofiharaalhazmy generalizedorliczsequencespaces |