A note on generalized Holder’s inequality in p-summable sequence spaces
Al Azhary Masta1, Eka Rahma Kurniasi2, Rajab Vebrian2, and Iis Juniati Lathifah2

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

2Department of Mathematics Education, STKIP Muhammadiyah, Jl. KH. Ahmad Dahlan 51, Kabupaten Bangka Tengah, Bangka Belitung, 33684, INDONESIA

Abstract

In this paper we present sufficient and necessary conditions for generalized Ho ̈lder’s inequality in p summable sequence spaces which complete the Masta, et al. result in 2018. One of the keys to prove our results is to use the norm of the characteristic sequence of the balls in Z^n.

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

Topic: Mathematics