Choquet Integral Analytical Type Inequalities

Authors

George A. Anastassiou, University of MemphisFollow

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

Recommended Citation

Anastassiou, G. (2020). Choquet Integral Analytical Type Inequalities. Studies in Computational Intelligence, 886, 283-296. https://doi.org/10.1007/978-3-030-38636-8_13