A generalization of Bohr-Mollerup's theorem for higher order convex functions: a tutorial

Jean-Luc Marichal, Naïm Zenaïdi

In its additive version, Bohr-Mollerup's remarkable theorem states that the unique (up to an additive constant) convex solution $f(x)$ to the equation $\Delta f(x)=\ln x$ on the open hal…