engleski

Properties of some functionals associated with h-concave and quasilinear functions with applications to inequalities

We consider quasilinearity of the functional $(h \circ v)\cdot \Phi$, where $\Phi$ is a monotone h-concave (h-convex) function, v and g are functionals with certain super(sub)additivity properties. Those general results are applied to some special functionals generated with several inequalities such as the Jensen, Jensen-Mercer, Beckenbach, Chebyshev and Milne inequalities.

quasilinearity; h-concave function; the Jensen functional; the Chebyshev functional

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