A Note on Generalized Holder’s Inequality in P-summable Sequence Spaces

Al Masta; Siti Fatimah; Eka Kurniasi; Rajab Vebrian; Iis Lathifah

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

Research Article

A Note on Generalized Holder’s Inequality in P-summable Sequence Spaces

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@INPROCEEDINGS{10.4108/eai.12-10-2019.2296444,
    author={Al Azhary Masta and Siti  Fatimah and Eka Rahma Kurniasi and Rajab  Vebrian and Iis Juniati Lathifah},
    title={A Note on Generalized Holder’s Inequality in P-summable 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 and necessary conditions p-summable sequence spaces},
    doi={10.4108/eai.12-10-2019.2296444}
}

Al Azhary Masta
Siti Fatimah
Eka Rahma Kurniasi
Rajab Vebrian
Iis Juniati Lathifah
Year: 2020
A Note on Generalized Holder’s Inequality in P-summable Sequence Spaces
MSCEIS
EAI
DOI: 10.4108/eai.12-10-2019.2296444

Al Azhary Masta¹^,*, Siti Fatimah¹, Eka Rahma Kurniasi², Rajab Vebrian¹, Iis Juniati Lathifah¹

1: Department of Mathematics Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi 229, Bandung 40154, INDONESIA
2: Department of Mathematics Education, STKIP Muhammadiyah, Jl. KH. Ahmad Dahlan 51, Kabupaten Bangka Tengah, Bangka Belitung, 33684, INDONESIA

*Contact email: alazhari.masta@upi.edu

Abstract

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

Keywords: holder's inequality sufficient and necessary conditions p-summable sequence spaces

Published: 2020-07-30
Publisher: EAI

: http://dx.doi.org/10.4108/eai.12-10-2019.2296444