Generalizations of Crooks and Lin's results on Jeffreys-Csiszár and Jensen-Csiszár \(f\)-divergences

DOI10.1016/j.physa.2016.07.062zbMath1400.82133OpenAlexW2497742444MaRDI QIDQ1620019

Marek Niezgoda, Paweł A. Kluza

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2016.07.062

zbMATH Keywords

Shannon entropyJensen functionalTsallis relative entropyJeffreys-Csiszár divergenceJensen-Csiszár divergence

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (5)

On Jensen-Rényi and Jeffreys-Rényi type \(f\)-divergences induced by convex functions ⋮ A generalization of HH \(f\)-divergence ⋮ On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions ⋮ Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences ⋮ On a Mercer like inequality involving generalized Csiszár f-divergences

Cites Work

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• Properties of some functionals related to Jensen's inequality
• Possible generalization of Boltzmann-Gibbs statistics.
• Shannon like inequalities for \(f\)-connections of positive linear maps and positive operators
• Length of Time’s Arrow
• Divergence measures based on the Shannon entropy
• Introduction to Nonextensive Statistical Mechanics
• An invariant form for the prior probability in estimation problems

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