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
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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