On the Sharp Triangle Inequalities in Quasi-Banach Spaces

DOI

10.2991/mce-14.2014.7How to use a DOI?

Keywords

Triangle inequality; Sharp triangle inequality; Reverse inequality; Norm; Quasi-Banach spaces

Abstract

The triangle inequality is one of the most important and fundamental inequalities in analysis. Many authors have been treating its generalizations and reverse inequalities. In this paper,we shall present the sharp triangle inequality and its reverse inequality for an arbitrary number of finitely many nonzero elements of a quasi-Banach space, which generalize the results obtained by C. Wu and Y. J. Li in [1].

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xiangzhen Xiao
PY  - 2014/03
DA  - 2014/03
TI  - On the Sharp Triangle Inequalities in Quasi-Banach Spaces
BT  - Proceedings of the 2014 International Conference on Mechatronics, Control and Electronic Engineering
PB  - Atlantis Press
SP  - 30
EP  - 32
SN  - 1951-6851
UR  - https://doi.org/10.2991/mce-14.2014.7
DO  - 10.2991/mce-14.2014.7
ID  - Xiao2014/03
ER  -