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GENERALIZED ORLICZ SEQUENCE SPACES

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 1 (2023) · hlm. 0427–0438

DOI
10.30598/barekengvol17iss1pp0427-0438
ISSN
2615-3017, 1978-7227
Terbit
2023-04-20
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

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.

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  • Indonesia University of Education
  • Bandung Institute of Technology
  • University of Indonesia
  • Universitas Slamet Riyadi
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Rekan penulisOrganisasiArtikel bersama
Alpha Galih AdirakasiwiIndonesia University of Education2
Dini Wulan SariUniversitas Slamet Riyadi1
Hulliyatul KhoiriyyahIndonesia University of Education1
Khusnul NovianingsihIndonesia University of Education1
Entit PuspitaIndonesia University of Education1
Nanang PriatnaIndonesia University of Education1
Encum SumiatyAfiliasi tidak diketahui1
Deka Nisa NabilaAfiliasi tidak diketahui1
Eyus SudihartinihAfiliasi tidak diketahui1
Eyus SudihartinihIndonesia University of Education1
Deka Nisa NabilaIndonesia University of Education1
Al JupriIndonesia University of Education1
Kartika YuliantiIndonesia University of Education1
Wildy ArdanIndonesia University of Education1
Hendra Edi GunawanBandung Institute of Technology1
Wono Setya BudhiBandung Institute of Technology1
Dadan ErwandiUniversity of Indonesia1
Sabarinah PrasetyoUniversity of Indonesia1

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en-US">GENERALIZED ORLICZ SEQUENCE SPACES</dc:title>
	<dc:creator>Kustiawan, Cece</dc:creator>
	<dc:creator>Masta, Al Azhary</dc:creator>
	<dc:creator>Dasep, Dasep</dc:creator>
	<dc:creator>Sumiaty, Encum</dc:creator>
	<dc:creator>Fatimah, Siti</dc:creator>
	<dc:creator>Hazmy, Sofihara Al</dc:creator>
	<dc:description xml:lang="en-US">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.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-04-20</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7481</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss1pp0427-0438</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications; 0427-0438</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss1year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/7481/5560</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Dasep Dasep, Cece Kustiawan, Al Azhary Masta, Encum Sumiaty, Siti Fatimah, Sofihara Al Hazmy</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>