RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITAÌ€ DI TRIESTE
Abstract
We introduce the notion of mean for masses on the real line and we give characterization theorems for some important classes of means. In this way we point out that the Consistency, Continuity and Associativity property of a real functional M on masses are the basic notions to get a de Finetti-Kolmogoroff-Nagumo type integral representation of M. Moreover, we introduce and study a notion of improper S-integral for real functions, bounded or not.
