Three sharp informational inequalities are derived by combining a Rényi entropy–divergence–cross-entropy inequality with relative Stam and moment-entropy bounds, yielding explicit minimizers of generalized Gaussian and Beta types.
Verd´ u, Convexity/concavity of R´ enyi entropy andα-mutual information, in: 2015 IEEE International Symposium on Information Theory (ISIT), IEEE, 2015, pp
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New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types
Three sharp informational inequalities are derived by combining a Rényi entropy–divergence–cross-entropy inequality with relative Stam and moment-entropy bounds, yielding explicit minimizers of generalized Gaussian and Beta types.