SUPERADDITIVITY OF SOME FUNCTIONALS ASSOCIATED WITH JENSEN’S INEQUALITY FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS

DOI10.1017/S0004972709001105zbMath1204.26033OpenAlexW2135993380MaRDI QIDQ3579992

Sever Silvestru Dragomir

Publication date: 11 August 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972709001105

zbMATH Keywords

Jensen's inequalityconvex functionsnorms\(f\)-divergencesmean \(f\)-deviation

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17)

Related Items

BOUNDS IN TERMS OF GÂTEAUX DERIVATIVES FOR THE WEIGHTED f-GINI MEAN DIFFERENCE IN LINEAR SPACES ⋮ Unnamed Item ⋮ JENSEN TYPE INEQUALITIES FOR Q-CLASS FUNCTIONS

Cites Work

• Unnamed Item
• The property of supermultiplicity for some classical inequalities and applications
• Some refinements of Ky Fan's inequality
• Some refinements of Jensen's inequality
• Minimum Hellinger distance estimates for parametric models
• A counterpart of Jensen's discrete inequality for differentiable convex mappings and applications in information theory
• Properties of some functionals related to Jensen's inequality
• Bounds for the normalised Jensen functional
• On Information and Sufficiency

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