Proceedings of the 2014 International Conference on Mechatronics, Control and Electronic Engineering

On the Sharp Triangle Inequalities in Quasi-Banach Spaces

Authors
Xiangzhen Xiao
Corresponding Author
Xiangzhen Xiao
Available Online March 2014.
DOI
https://doi.org/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].
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Proceedings
2014 International Conference on Mechatronics, Control and Electronic Engineering (MCE-14)
Part of series
Advances in Intelligent Systems Research
Publication Date
March 2014
ISBN
978-94-62520-31-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/mce-14.2014.7How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Xiangzhen Xiao
PY  - 2014/03
DA  - 2014/03
TI  - On the Sharp Triangle Inequalities in Quasi-Banach Spaces
BT  - 2014 International Conference on Mechatronics, Control and Electronic Engineering (MCE-14)
PB  - Atlantis Press
SP  - 30
EP  - 32
SN  - 1951-6851
UR  - https://doi.org/10.2991/mce-14.2014.7
DO  - https://doi.org/10.2991/mce-14.2014.7
ID  - Xiao2014/03
ER  -