Počet záznamů: 1  

On Cauchy-Schwarz’s inequality for Choquet-like integrals without the comonotonicity condition

  1. 1.
    0506951 - ÚTIA 2020 DE eng J - Článek v odborném periodiku
    Agahi, H. - Mesiar, Radko
    On Cauchy-Schwarz’s inequality for Choquet-like integrals without the comonotonicity condition.
    Soft Computing. Roč. 19, č. 6 (2015), s. 1627-1634. ISSN 1432-7643. E-ISSN 1433-7479
    Institucionální podpora: RVO:67985556
    Klíčová slova: Cauchy-Schwarz’s inequality * Choquet expectation * Hölder’s inequality * Monotone probability * Pseudo-analysis * Choquet-like integrals * Sugeno integral
    Obor OECD: Applied mathematics
    Impakt faktor: 1.630, rok: 2015
    http://library.utia.cas.cz/separaty/2019/E/mesiar-0506951.pdf

    Cauchy-Schwarz’s inequality is one of the most important inequalities in probability, measure theory and analysis. The problem of finding a sharp inequality of Cauchy–Schwarz type for Sugeno integral without the comonotonicity condition based on the multiplication operator has led to a challenging and an interesting subject for researchers. In this paper, we give a Cauchy–Schwarz’s inequality without the comonotonicity condition based on pseudo-analysis for two classes of Choquet-like integrals as generalizations of Choquet integral and Sugeno integral. In the first class, pseudo-operations are defined by a continuous strictly increasing function $$g$$g. Another class concerns the Choquet-like integrals based on the operator “$$\sup $$sup” and a pseudo-multiplication $$\otimes $$⊗. When working on the second class of Choquet-like integrals, our results give a new version of Cauchy–Schwarz’s inequality for Sugeno integral without the comonotonicity condition based on the multiplication operator.
    Trvalý link: http://hdl.handle.net/11104/0298081

     
     
Počet záznamů: 1  

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