Generalized H𝒐̈lder’s inequality in Orlicz sequence spaces

Siti Fatimah; Al Masta; Ifronika Ifronika; Risnina Wafiqoh; Putri Agustine

Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia

Research Article

Generalized H𝒐̈lder’s inequality in Orlicz sequence spaces

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@INPROCEEDINGS{10.4108/eai.12-10-2019.2296537,
    author={Siti  Fatimah and Al Azhary Masta and Ifronika  Ifronika and Risnina  Wafiqoh and Putri Cahyani Agustine},
    title={Generalized H𝒐̈lder’s inequality in Orlicz sequence spaces},
    proceedings={Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia},
    publisher={EAI},
    proceedings_a={MSCEIS},
    year={2020},
    month={7},
    keywords={holder's inequality sufficient condition orlicz sequence spaces},
    doi={10.4108/eai.12-10-2019.2296537}
}

Siti Fatimah
Al Azhary Masta
Ifronika Ifronika
Risnina Wafiqoh
Putri Cahyani Agustine
Year: 2020
Generalized H𝒐̈lder’s inequality in Orlicz sequence spaces
MSCEIS
EAI
DOI: 10.4108/eai.12-10-2019.2296537

Siti Fatimah¹^,*, Al Azhary Masta¹, Ifronika Ifronika², Risnina Wafiqoh³, Putri Cahyani Agustine³

1: Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, INDONESIA
2: Analysis and Geometry Research Group, Bandung Institute of Technology, Bandung, INDONESIA
3: Department of Mathematics Education, STKIP Muhammadiyah, Jl. KH. Ahmad Dahlan 51, Kabupaten Bangka Tengah, Bangka Belitung, 33684, INDONESIA

*Contact email: sitifatimah@upi.edu

Abstract

Orlicz spaces is one of Banach space were firstly initiated by Birnbaum and W. Orlicz. There are two categories of Orlicz spaces, i.e. continuous Orlicz spaces and Orlicz sequence spaces. Many authors have discussed about continuous Orlicz spaces, especially Hölder’s inequality in these spaces. In this paper, we present a sufficient condition for generalized Hölder’s inequality in Orlicz sequence spaces. One of the keys to finding our results is to use the norm of the characteristic sequence of the balls in ℤ.

Keywords: holder's inequality sufficient condition orlicz sequence spaces

Published: 2020-07-30
Publisher: EAI

: http://dx.doi.org/10.4108/eai.12-10-2019.2296537