A Strengthened Entropy Power Inequality for Log-Concave Densities

作者：Toscani Giuseppe^*

来源：IEEE Transactions on Information Theory, 2015, 61(12): 6550-6559.

DOI：10.1109/TIT.2015.2495302

• Entropy
• information measure
• information theory
• entropy-power inequality
• Stam's Fisher information inequality

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.

• 出版日期2015-12