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

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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).

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
URI https://vuir.vu.edu.au/id/eprint/17958
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords convex functions, Jensen's inequality, Gâteaux lateral derivatives, norms, semi-inner products, means, weighted f-Gini mean difference
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