Improved estimates for the triangle inequality

Improved estimates for the triangle inequality

Abstract 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.

Bibliographic Details
Main Authors: Nicuşor Minculete, Radu Păltănea
Format: Article
Language:English
Published: SpringerOpen 2017-01-01
Series:Journal of Inequalities and Applications
Subjects:
norm inequalities
triangle inequality
Tapia semi-product
inner product spaces
norm-angular distance
Online Access:http://link.springer.com/article/10.1186/s13660-016-1281-z

Internet

http://link.springer.com/article/10.1186/s13660-016-1281-z

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