I'm so excited in log-concave and log-convex functions .
I find a good properties of that :
1- The Laplace transform of a non-negative function is a log-convex. 2- The convolution of two log -concave functions is log-concave. 3- The product of log-concave functions is log concave.
but I can't find any information about usefulness of these for any applications.
Thanks in advance .