Generalized Hölder's inequality in Orlicz sequence spaces

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

doi:10.4108/eai.12-10-2019.2296537

Generalized Hölder's inequality in Orlicz sequence spaces

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Siti Fatimah, Al Azhary Masta, Ifronika, Risnina Wafiqoh, Putri Cahyani Agustine

2020 Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019 Conference paper Cited by 1

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. Copyright © 2020 EAI

Affiliations

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

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