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# A Strengthened Entropy Power Inequality for Log-Concave Densities

@article{Toscani2015ASE, title={A Strengthened Entropy Power Inequality for Log-Concave Densities}, author={Giuseppe Toscani}, journal={IEEE Transactions on Information Theory}, year={2015}, volume={61}, pages={6550-6559} }

- Published 2015 in IEEE Transactions on Information Theory
DOI:10.1109/TIT.2015.2495302

We show that Shannon's entropy-power inequality admits a strengthened version in the case in which the densities are log-concave. In such a case, in fact, one can extend the Blachman-Stam argument to obtain a sharp inequality for the second derivative of Shannon's entropy functional with respect to the heat semigroup.Â

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