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Stolarsky's inequality for Choquet-like expectation

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    0469701 - ÚTIA 2017 RIV SK eng J - Journal Article
    Agahi, H. - Mesiar, Radko
    Stolarsky's inequality for Choquet-like expectation.
    Mathematica Slovaca. Roč. 66, č. 5 (2016), s. 1235-1248. ISSN 0139-9918. E-ISSN 1337-2211
    Institutional support: RVO:67985556
    Keywords : Choquet-like expectation * Stolarsky’s inequality * Minkowski’s inequality
    Subject RIV: BA - General Mathematics
    Impact factor: 0.346, year: 2016
    http://library.utia.cas.cz/separaty/2016/E/mesiar-0469701.pdf

    Expectation is the fundamental concept in statistics and probability. As two generalizations
    of expectation, Choquet and Choquet-like expectations are commonly used tools in generalized
    probability theory. This paper considers the Stolarsky inequality for two classes of Choquet-like integrals.
    The first class generalizes the Choquet expectation and the second class is an extension of the
    Sugeno integral. Moreover, a new Minkowski’s inequality without the comonotonicity condition for two
    classes of Choquet-like integrals is introduced. Our results significantly generalize the previous results
    in this field. Some examples are given to illustrate the results.
    Permanent Link: http://hdl.handle.net/11104/0269127

     
     
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