Bounds for the generalized \( (\Phi;f) \)-mean difference

Silvestru Sever Dragomir

doi:10.4067/S0719-06462020000100001

DOI:

https://doi.org/10.4067/S0719-06462020000100001

Abstract

In this paper we establish some bounds for the \( (\Phi;f) \)-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

Gini mean difference , Mean deviation , Lebesgue integral , Expectation , Jensen‘s integral inequality

Silvestru Sever Dragomir Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia.

Pages: 01–21
Date Published: 2020-04-17
Vol. 22 No. 1 (2020)

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