On Young's Inequality and its Reverse for Bounding the Lorenz Curve and Gini Mean

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Cerone, Pietro (2009) On Young's Inequality and its Reverse for Bounding the Lorenz Curve and Gini Mean. Journal of Mathematical Inequalities, 3 (3). pp. 369-381. ISSN 1846-579X

Abstract

The performance of the Young integral inequality is investigated for bounding the Lorenz curve and the Gini index. The study relies on a comparison of reverse Young type integral inequalities. The resulting approximation and bounds for the Lorenz curve and the Gini index are compared with previous results.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/4213
Official URL http://jmi.ele-math.com/03-37/On-Young-s-inequalit...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID17576. Gini mean difference, Gini index, Lorenz curve, variance, coefficient of variation, Young’s integral inequality, reverse Young’s inequality
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