Article contents
Constructions of Uniformly Convex Functions
Published online by Cambridge University Press: 20 November 2018
Abstract
We give precise conditions under which the composition of a norm with a convex function yields a uniformly convex function on a Banach space. Various applications are given to functions of power type. The results are dualized to study uniform smoothness and several examples are provided.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2012
References
- 4
- Cited by