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The Choquet integral as Lebesgue integral and related inequalities
The integral inequalities known for the Lebesgue integral are discussed in the framework of the Choquet integral. While the Jensen inequality was known to be valid for the Choquet integral without any additional constraints, this is not more true for the Cauchy, Minkowski, Hölder and other inequalities. For a fixed monotone measure, constraints on the involved functions sufficient to guarantee the…
Creator
- Mesiar, Radko
- Li, Jun
- Pap, Endre
Subject
- Choquet integral
- comonotone functions
- integral inequalities
- monotone measure
- modularity
Type of item
- model:article
Creator
- Mesiar, Radko
- Li, Jun
- Pap, Endre
Subject
- Choquet integral
- comonotone functions
- integral inequalities
- monotone measure
- modularity
Type of item
- model:article
Providing institution
Aggregator
Rights statement for the media in this item (unless otherwise specified)
- http://creativecommons.org/publicdomain/mark/1.0/
Rights
- policy:public
Place-Time
- [1098]-1107
Source
- Kybernetika | 2010 Volume:46 | Number:6
Identifier
- uuid:99a1f796-c9f4-4357-b583-bc9e7f94c63c
- https://cdk.lib.cas.cz/client/handle/uuid:99a1f796-c9f4-4357-b583-bc9e7f94c63c
- uuid:99a1f796-c9f4-4357-b583-bc9e7f94c63c
Format
- bez média
- svazek
Language
- eng
- eng
Providing country
- Czech Republic
Collection name
First time published on Europeana
- 2021-06-01T12:19:28.026Z
Last time updated from providing institution
- 2021-06-01T12:19:28.026Z