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Intelligent Systems: Models and Applications pp 3–22Cite as

Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures

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Part of the book series: Topics in Intelligent Engineering and Informatics ((TIEI,volume 3))

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.

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Authors and Affiliations

  1. Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000, Novi Sad, Serbia

    Endre Pap & Mirjana Štrboja

  2. Óbuda university, H-1034, Budapest, Becsi út 96/B, Hungary

    Endre Pap

  3. Educons University, 21208, Sremska Kamenica, Serbia

    Endre Pap

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  1. Endre Pap
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  2. Mirjana Štrboja
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Correspondence to Endre Pap .

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  1. , Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, Novi Sad, 21000, Serbia

    Endre Pap

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Pap, E., Štrboja, M. (2013). Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures. In: Pap, E. (eds) Intelligent Systems: Models and Applications. Topics in Intelligent Engineering and Informatics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33959-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-33959-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33958-5

  • Online ISBN: 978-3-642-33959-2

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