Bounds for the generalized ( Φ; f)-mean difference

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