Divergence for s-concave and log concave functions

Autor:	Caglar, Umut, Werner, Elisabeth M.
Rok vydání:	2013
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.5409 Zobrazit plný text záznamu View this record from Arxiv