Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals

Abstract EN

We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples.

By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity.

Finally, the general results are then applied to some particular settings.