Schur-convexity of two types of one-parameter mean values in variables.
Semicopulæ
We define the notion of semicopula, a concept that has already appeared in the statistical literature and study the properties of semicopulas and the connexion of this notion with those of copula, quasi-copula, -norm.
Semicopulas: characterizations and applicability
We characterize some bivariate semicopulas and, among them, the semicopulas satisfying a Lipschitz condition. In particular, the characterization of harmonic semicopulas allows us to introduce a new concept of depedence between two random variables. The notion of multivariate semicopula is given and two applications in the theory of fuzzy measures and stochastic processes are given.
Some properties of functions with bounded mean oscillation
Sur un problème concernant les fonctions quasicontinues
Symmetrisierung für Funktionen mehrerer reeller Variablen.