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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