Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals

DOI10.1016/j.ajmsc.2018.12.002zbMath1477.94041OpenAlexW2907051041MaRDI QIDQ5009821

Khuram Ali Khan, Đilda Pečarić, Tasadduq Niaz, Josip E. Pečarić

Publication date: 6 August 2021

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2018.12.002

zbMATH Keywords

entropyJensen inequalityShannon entropyRényi divergenceFink's identity\(f\)-divergence\(m\)-convex functionAbel-Gontscharoff Green function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Inequalities involving other types of functions (26D07)

Cites Work

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• A refinement of the discrete Jensen's inequality
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• On Information and Sufficiency

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