A sufficient condition for generalized Ho ̈lder’s inequality in Orlicz sequence spaces
Siti Fatimah1, Al Azhary Masta1, Ifronika2, Risnina Wafiqoh3, and Putri Cahyani Agustine3

1Department of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, INDONESIA

2Analysis and Geometry Research Group, Bandung Institute of Technology, Bandung, INDONESIA

3Department of Mathematics Education, STKIP Muhammadiyah, Jl. KH. Ahmad Dahlan 51, Kabupaten Bangka Tengah, Bangka Belitung, 33684, INDONESIA

Abstract

In this paper we present a sufficient condition for generalized Ho ̈lder’s inequality in Orlicz sequence spaces. One of the keys to prove our results is to use the norm of the characteristic sequence of the balls in R^n.

Keywords: Ho ̈lders inequality, sufficient and necessary conditions, p-summable sequence spaces

Topic: Mathematics