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A strengthened entropy power inequality for log-concave densities
Giuseppe Toscani · 2014-08-18 · via cs.IT updates on arXiv.org

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.

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