Article ID Journal Published Year Pages File Type
4621167 Journal of Mathematical Analysis and Applications 2008 18 Pages PDF
Abstract

This paper deals with n-monotone functionals, which constitute a generalisation of n-monotone set functions. Using the notion of exactness of a functional, we introduce a new notion of lower and upper integral which subsumes as particular cases most of the approaches to integration in the literature. As a consequence, we can characterise which types of integrals can be used to calculate the natural extension (the lower envelope of all linear extensions) of a positive bounded charge.

Related Topics
Physical Sciences and Engineering Mathematics Analysis