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cs.IT2026
New sharp inequalities involving non-relative, relative and cross informational functionals with some remarkable minimizers of generalized Gaussian and Beta types
Razvan Gabriel Iagar, David Puertas-Centeno
Several new and sharp informational inequalities are derived as a byproduct of Stam-like and moment-entropy-like inequalities in the relative framework and a recently established i…
cs.IT2026
Entropies, cross-entropies and Rényi divergence: sharp three-term inequalities for probability density functions
Razvan Gabriel Iagar, David Puertas-Centeno
A new sharp inequality featuring the differential Rényi entropy, the Rényi divergence and the Rényi cross-entropy of a pair of probability density functions is established. The equ…