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Bounds In Terms of Gâteaux Derivatives for the Weighted f-Gini Mean Difference in Linear Spaces

Dragomir, Sever S (2009) Bounds In Terms of Gâteaux Derivatives for the Weighted f-Gini Mean Difference in Linear Spaces. Research report collection, 12 (Supp).

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Abstract

Some bounds in terms of Gâteaux lateral derivatives for the weighted f-Gini mean difference generated by convex and symmetric functions in lin- ear spaces are established. Applications for norms and semi-inner products are also provided.

Item Type: Article
Uncontrolled Keywords: convex functions, Jensen's inequality, Gâteaux lateral derivatives, norms, semi-inner products, means, weighted f-Gini mean difference
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 09 Feb 2012 20:47
Last Modified: 23 May 2013 16:53
URI: http://vuir.vu.edu.au/id/eprint/17958
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