On Gini mean difference bounds via generalised Iyengar results

Abstract

A variety of mathematical inequalities have been utilised to obtain approximation and bounds of the Gini mean difference.The Gini meandifference or the related index is a widely used measure of inequalityin numerous areas such as in health, finance and population attributesarenas.The paper extends the Iyengar inequality to a Riemann-Stieltjessetting and obtains new results relating to the Gini mean difference.