Title

Hardy type inequalities for Choquet integrals

Abstract

Here we present Hardy type integral inequalities for Choquet integrals. These are very general inequalities involving convex and increasing functions. Initially we collect a rich machinery of results about Choquet integrals needed next, and we prove also results of their own merit such as, Choquet-Hölder’s inequalities for more than two functions and a multivariate Choquet-Fubini’s theorem. The main proving tool here is the property of comonotonicity of functions. We finish with independent estimates on left and right Riemann-Liouville-Choquet fractional integrals.

Publication Title

Journal of Computational Analysis and Applications

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