Open AccessA note on convergence results for varying interval valued multisubmeasures
Author(s) -
Anca Croitoru,
Alina Gavriluţ,
Alina Iosif,
Anna Rita Sambucini
Publication year - 2021
Publication title -
mathematical foundations of computing
Language(s) - English
Resource type - Journals
ISSN - 2577-8838
DOI - 10.3934/mfc.2021020
Subject(s) - mathematics , interval (graph theory) , order (exchange) , combinatorics , arithmetic , discrete mathematics , economics , finance
Some limit theorems are presented for Riemann-Lebesgue integrals where the functions \begin{document}$ G_n $\end{document} and the measures \begin{document}$ M_n $\end{document} are interval valued and the convergence for the multisubmeasures is setwise. In particular sufficient conditions in order to obtain \begin{document}$ \int G_n dM_n \to \int G dM $\end{document} are given.