Počet záznamů: 1

Berwald type inequality for Sugeno integral

  1. 1.
    0358806 - UTIA-B 2012 RIV NL eng J - Článek v odborném periodiku
    Hamzeh, A. - Mesiar, Radko - Yao, O. - Endre, P. - Mirjama, Š.
    Berwald type inequality for Sugeno integral.
    Applied Mathematics and Computation. Roč. 217, č. 8 (2010), s. 4100-4108 ISSN 0096-3003
    Grant CEP: GA ČR GA402/08/0618
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: Berwald's inequality * Nonadditive measure * Sugeno integral
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 1.534, rok: 2010
    http://library.utia.cas.cz/separaty/2011/E/mesiar-berwald type inequality for sugeno integral.pdf http://library.utia.cas.cz/separaty/2011/E/mesiar-berwald type inequality for sugeno integral.pdf

    Nonadditive measure is a generalization of additive probability measure. Sugeno integral is a useful tool in several theoretical and applied statistics which has been built on non-additive measure. Integral inequalities play important roles in classical probability and measure theory. The classical Berwald integral inequality is one of the famous inequalities. This inequality turns out to have interesting applications in information theory. In this paper, Berwald type inequality for the Sugeno integral based on a concave function is studied. Several examples are given to illustrate the validity of this inequality. Finally, a conclusion is drawn and a problem for further investigations is given.
    Trvalý link: http://hdl.handle.net/11104/0196739