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Constructions of uniformly convex functions

Canadian Mathematical Bulletin (2012) 55(4) 697-707
DOI: 10.4153/CMB-2011-049-2
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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. © Canadian Mathematical Society 2011.

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CITATION STYLE

APA

Borwein, J. M., & Vanderwerff, J. (2012). Constructions of uniformly convex functions. Canadian Mathematical Bulletin, 55(4), 697–707. https://doi.org/10.4153/CMB-2011-049-2

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