Title

Choquet Integral Analytical Type Inequalities

Abstract

Based on an amazing result of Sugeno [16], we are able to transfer classic analytic integral inequalities to Choquet integral setting. We give Choquet integral inequalities of the following types: fractional-Polya, Ostrowski, fractional Ostrowski, Hermite–Hadamard, Simpson and Iyengar. We provide several examples for the involved distorted Lebesgue measure. See also [5].

Publication Title

Studies in Computational Intelligence

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