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A strengthened entropy power inequality for log-concave densities (1408.4049v1)
Published 18 Aug 2014 in cs.IT, math.FA, and math.IT
Abstract: 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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