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Cubo (Temuco)
On-line version ISSN 0719-0646
Cubo vol.22 no.1 Temuco Apr. 2020
http://dx.doi.org/10.4067/S0719-06462020000100001
Articles
Bounds for the Generalized (Φ, f)-Mean Difference
1 Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia. sever.dragomir@vu.edu.au
2 School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa
In this paper we establish some bounds for the (Φ, f)-mean difference introduced in the general settings of measurable spaces and Lebesgue integral, which is a two functions generalization of Gini mean difference that has been widely used by economists and sociologists to measure economic inequality.
Keywords and Phrases: Gini mean difference; Mean deviation; Lebesgue integral; Expectation; Jensen’s integral inequality
En este artículo establecemos algunas cotas para la (Φ, f)-diferencia media introducida en el contexto general de espacios medibles e integral de Lebesgue, que es una generalización a dos funciones de la diferencia media de Gini que ha sido ampliamente utilizada por economistas y sociólogos para medir desigualdad económica.
Acknowledgement.
The author would like to thank the anonymous referee for valuable suggestions that have been implemented in the final version of the paper.
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