Abstract of a paper by Umut Caglar and Elisabeth M. Werner
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
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