Jensen's inequality and new entropy bounds

DOI10.1016/j.aml.2009.01.040zbMath1173.26308OpenAlexW2154319501MaRDI QIDQ1033083

Slavko Simić

Publication date: 6 November 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.040

zbMATH Keywords

entropyJensen's inequalitypower series representationsconvex mappingsglobal bounds

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Convexity of real functions of several variables, generalizations (26B25)

Related Items (15)

New entropy bounds via uniformly convex functions ⋮ New refinements of Jensen's inequality and entropy upper bounds ⋮ New Bounds for the Jensen-Dragomir Functional with Applications in Analysis ⋮ fgh -Convex Functions and Entropy Bounds ⋮ Jensen-Mercer inequality for uniformly convex functions with some applications ⋮ An application of Ky Fan inequality: on Kullback-Leibler divergence between a probability distribution and its negation ⋮ A new refinement of Jensen-type inequality with respect to uniformly convex functions with applications in information theory ⋮ EXTENSION OF THE REFINED GIBBS INEQUALITY ⋮ Unnamed Item ⋮ Sharp global bounds for Jensen's inequality ⋮ Best possible global bounds for Jensen functional ⋮ Unnamed Item ⋮ A new entropy upper bound ⋮ Unnamed Item ⋮ A new refinement of Jensen's inequality with applications in information theory

Cites Work

• Some bounds on entropy measures in information theory
• Analytic Inequalities
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