A converse to the neo-classical inequality with an application to the Mittag-Leffler function

Stefan Gerhold, Thomas Simon

We prove two inequalities for the Mittag-Leffler function, namely that the function $\log E_{\alpha }(x^{\alpha })$ is sub-additive for $0<\alpha <1,$ and super-additive for $\alpha >1.$ These assertions foll…