Some inequalities on generalized entropies
S. Furuichi, N. Minculete, F.-C. Mitroi
TL;DR
This paper establishes new inequalities involving generalized entropies, particularly Tsallis entropies, by leveraging improved Young's inequalities and extends Han's inequality to a broader context.
Contribution
It introduces novel inequalities for generalized entropies and generalizes Han's inequality using advanced inequality techniques.
Findings
Derived new inequalities for Tsallis entropies.
Extended Han's inequality to generalized entropy frameworks.
Utilized improved Young's inequalities for proofs.
Abstract
We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young's inequality. We also give a generalized Han's inequality.
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