This is an announcement for the paper "Divergence for s-concave and log concave functions" by Umut Caglar and Elisabeth M. Werner.

Abstract: We prove new entropy inequalities for log concave and s-concave functions that strengthen and generalize recently established reverse log Sobolev and Poincare inequalities for such functions. This leads naturally to the concept of f-divergence and, in particular, relative entropy for s-concave and log concave functions. We establish their basic properties, among them the affine invariant valuation property. Applications are given in the theory of convex bodies.

Archive classification: math.FA

Submitted from: elisabeth.werner@case.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1307.5409

or

http://arXiv.org/abs/1307.5409