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

References to SciGraph publications

  • 2009. Generalized Measure Theory in NONE
  • 2011-02. Some inequalities and convergence theorems for Choquet integrals in JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
  • 1986. Semirings, Automata, Languages in NONE
  • 1994. Non-Additive Measure and Integral in NONE
  • 1989-01. Idempotent analysis as a tool of control theory and optimal synthesis. I in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • 1999. Applications Of Decomposable Measures in MATHEMATICS OF FUZZY SETS
  • Book

    TITLE

    Intelligent Systems: Models and Applications

    ISBN

    978-3-642-33958-5
    978-3-642-33959-2

    Author Affiliations

    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

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