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Intelligent Analysis: Fractional Inequalities and Approximations Expanded pp 283–296Cite as

Choquet Integral Analytical Type Inequalities

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 886))

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].

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References

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, Memphis, TN, USA

    George A. Anastassiou

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  1. George A. Anastassiou
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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2020). Choquet Integral Analytical Type Inequalities. In: Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Studies in Computational Intelligence, vol 886. Springer, Cham. https://doi.org/10.1007/978-3-030-38636-8_13

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