Convergence theorems for monotone measures

Jun Li, Radko Mesiar, E. Pap, Erich Peter Klement

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)103-127
Number of pages25
JournalFuzzy Sets and Systems
Volume281
DOIs
Publication statusPublished - Dec 15 2015

Fingerprint

Convergence Theorem
Monotone
Measurable space
Measure Theory
Null set or empty set
Theorem

Keywords

  • Convergence theorems
  • Egorov theorem
  • Lusin theorem
  • Monotone measure
  • Monotone set function
  • Riesz theorem

ASJC Scopus subject areas

  • Artificial Intelligence
  • Logic

Cite this

Convergence theorems for monotone measures. / Li, Jun; Mesiar, Radko; Pap, E.; Klement, Erich Peter.

In: Fuzzy Sets and Systems, Vol. 281, 15.12.2015, p. 103-127.

Research output: Contribution to journalArticle

Li, Jun ; Mesiar, Radko ; Pap, E. ; Klement, Erich Peter. / Convergence theorems for monotone measures. In: Fuzzy Sets and Systems. 2015 ; Vol. 281. pp. 103-127.
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