Comparison of the normalized Jensen functionals of two convex functions with applications

DOI10.1016/j.amc.2014.05.131zbMath1335.26012OpenAlexW1991400139MaRDI QIDQ279956

Jamal Rooin, Hossein Dehghan, Akram Alikhani

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.131

zbMATH Keywords

convex functionJensen's inequalityinner product spaceKullback-Leibler divergenceShannon's entropy

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

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• A characterization of inner product spaces related to the skew-angular distance
• The mapping \(\delta_{x,y}\) in normed linear spaces and refinements of the Cauchy-Schwarz inequality
• On the Ky Fan inequality
• The inequality of Ky Fan and related results
• Bounds for the normalised Jensen functional
• Convex functions and their applications. A contemporary approach

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