Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2013

AUTHORS

Endre Pap , Mirjana Štrboja

ABSTRACT

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. More... »

PAGES

3-22

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-33959-2_1

DOI

http://dx.doi.org/10.1007/978-3-642-33959-2_1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1008636701


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