Improved estimates for the triangle inequality

Journal of inequalities and applications

Nicuş¹ 

关键词: norm inequalities;    triangle inequality;    Tapia semi-product;    inner product spaces;    norm-angular distance;    46B99;    26D15;    46C50;    46C05;   

DOI  :  10.1186/s13660-016-1281-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail.

【 授权许可】

CC BY