en
universal integral
Choquet
Sugeno integral
Minkowski
Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures
3-22
applications
inequality
false
integral inequality
overview of generalizations
Chebishev
2013-01-01
Minkowski type inequalities
chapter
measures
chapters
Hölder
Berwald inequalities
cases
corresponding inequalities
integrals
Jensen
2013
generalization
nonadditive measures
There is given an overview of generalizations of the integral inequalities for integrals based on nonadditive measures. The Hölder, Minkowski, Jensen, Chebishev and Berwald inequalities are generalized to the Choquet and Sugeno integrals. A general inequality which cover Hölder and Minkowski type inequalities is considered for the universal integral. The corresponding inequalities for important cases of the pseudo-integral and applications of these inequalities in pseudo-probability are also given.
important case
general inequality
2022-01-01T19:16
type inequalities
https://doi.org/10.1007/978-3-642-33959-2_1
overview
https://scigraph.springernature.com/explorer/license/
978-3-642-33958-5
978-3-642-33959-2
Intelligent Systems: Models and Applications
Educons University, 21208, Sremska Kamenica, Serbia
Educons University, 21208, Sremska Kamenica, Serbia
Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000, Novi Sad, Serbia
Óbuda university, Becsi út 96/B, H-1034, Budapest, Hungary
Endre
Pap
Springer Nature
Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000, Novi Sad, Serbia
Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000, Novi Sad, Serbia
Pap
Endre
Springer Nature - SN SciGraph project
Public Health and Health Services
pub.1008636701
dimensions_id
doi
10.1007/978-3-642-33959-2_1
Mirjana
Štrboja
Medical and Health Sciences