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.
Bercher, On a (β, q)−generalized Fisher information and inequalities involving q−Gaussian distributions, Journal of Mathematical Physics 53 (6) (2012)
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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.