2026-05-05T20:06:18.960Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:1854 2014-01-24T18:30:29Z 2

The Choquet integral as Lebesgue integral and related inequalities 2010 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/1854 http://www.kybernetika.cz/ R. Mesiar J. Li E. Pap The integral inequalities known for the Lebesgue integral are discussed in the framework of the Choquet integral. While the Jensen inequality was known to be valid for the Choquet integral without any additional constraints, this is not more true for the Cauchy, Minkowski, H\"older and other inequalities. For a fixed monotone measure, constraints on the involved functions sufficient to guarantee the validity of the discussed inequalities are given. Moreover, the comonotonicity of the considered functions is shown to be a sufficient constraint ensuring the validity of all discussed inequalities for the Choquet integral, independently of the underlying monotone measure. article 46 1098 1107 0023-5954 KYBERNETIKA