On Carlson's inequality for Sugeno and Choquet integrals

TL;DR

This paper introduces Carlson type inequalities for the generalized Sugeno and Choquet integrals, extending the class of functions considered and generalizing many existing inequalities in the field.

Contribution

It presents new Carlson type inequalities for the Sugeno and Choquet integrals applicable to broader function classes than previously considered.

Findings

New inequalities for Sugeno and Choquet integrals

Broader applicability to wider function classes

Generalization of many known inequalities

Abstract

We present a Carlson type inequality for the generalized Sugeno integral and a much wider class of functions than the comonotone functions. We also provide three Carlson type inequalities for the Choquet integral. Our inequalities generalize many known results.