Resumen de A stability result concerning the Shannon entropy

Alessando Morando

• We are concerned with a well-known characterization of the Shannon entropy by Faddeev, suitably re-examined in the frame of Ulam--Hyers "stability" of functional equations. By use of some results about number theoretical functions, we give a sufficient condition that the solutions of a suitable system of countably many functional inequalities approximate the Shannon entropy uniformly.