- Title
- Constructions of uniformly convex functions
- Creator
- Borwein, Jonathan M.; Vanderwerff, Jon
- Relation
- ARC
- Relation
- Canadian Mathematical Bulletin Vol. 55, Issue 4, p. 697-707
- Publisher Link
- http://dx.doi.org/10.4153/CMB-2011-049-2
- Publisher
- University of Toronto Press
- Resource Type
- journal article
- Date
- 2012
- Description
- 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.
- Subject
- convex function; uniformly convex function; uniformly smooth function; power type; Fenchel conjugate; composition; norm
- Identifier
- http://hdl.handle.net/1959.13/1057122
- Identifier
- uon:16140
- Identifier
- ISSN:0008-4395
- Language
- eng
- Reviewed
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