On the Sharp Triangle Inequalities in Quasi-Banach Spaces

被引：0

作者：

Xiao, Xiangzhen ^{[1
]}

机构：

[1] Henan Inst Sci & Technol, Expt Ctr, Xinxiang, Henan, Peoples R China

来源：

PROCEEDINGS OF THE 2014 INTERNATIONAL CONFERENCE ON MECHATRONICS, CONTROL AND ELECTRONIC ENGINEERING | 2014年 / 113卷

关键词：

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

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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].

引用

页码：30 / 32

页数：3

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