We supply Chebyshev and Jensen type inequalities for Choquet integral. Moreover, in the setting of normalized linear functionals on a real vector space of measurable functions including all bounded ones, we state the equivalence of these inequalities and the positivity condition of functionals.
Chebyshev and Jensen inequalities for Choquet integral / Girotto, Bruno; Holzer, Silvano. - In: MATHEMATICA PANNONICA. - ISSN 0865-2090. - 23/2012:2(2012), pp. 267-275.
Chebyshev and Jensen inequalities for Choquet integral
GIROTTO, BRUNO;HOLZER, SILVANO
2012-01-01
Abstract
We supply Chebyshev and Jensen type inequalities for Choquet integral. Moreover, in the setting of normalized linear functionals on a real vector space of measurable functions including all bounded ones, we state the equivalence of these inequalities and the positivity condition of functionals.File in questo prodotto:
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