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Constructions of Uniformly Convex Functions

Borwein, Jonathan M. and Vanderwerff, Jon D. Constructions of Uniformly Convex Functions. Unpublished . (Unpublished)

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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.

    Item Type: Article
    Subjects: 33-xx Special functions > 33Exx Other special functions
    Faculty: UNSPECIFIED
    Depositing User: eduardo castillo
    Date Deposited: 13 Dec 2010 11:50
    Last Modified: 13 Dec 2010 11:50
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/778

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