Jun Li, Radko Mesiar, Endre Pap, Erich Klement,
"Convergence theorems for monotone measures"
, in Fuzzy Sets and Systems, Vol. 281, Seite(n) 103-127, 2015, ISSN: 1872-6801
Original Titel:
Convergence theorems for monotone measures
Sprache des Titels:
Englisch
Original Kurzfassung:
In classical measure theory there are a number of convergence theorems, such as
the Egorov, the Riesz and the Lusin theorem, among others. We consider monotone measures (i.e., monotone set functions vanishing in the empty set and defined on a measurable space) and discuss, how and to which extent classical convergence theorems can be carried over to this more general case.