Barnes-Godunova-Levin type inequality of the Sugeno integral for an ( α , m ) -concave function

In this paper, a Barnes-Godunova-Levin type inequality for the Sugeno integral based on an \(( {\alpha,m} )\)-concave function is proved. Some examples are given to illustrate the validity of these inequalities. Finally, several important results, as special cases of an \(( {\alpha,m} )\)-concave function, are also obtained.