INEQUALITIES IN TERMS OF THE GÂTEAUX DERIVATIVES FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS

DOI10.1017/S0004972710002054zbMath1230.26011MaRDI QIDQ3004967

Sever Silvestru Dragomir

Publication date: 6 June 2011

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

zbMATH Keywords

normconvex functionJensen's inequalityf-divergenceGateaux derivativesmean f-deviations

Mathematics Subject Classification ID

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

Related Items (5)

New converses of Jensen inequality via Green functions with applications ⋮ Jensen's and Hermite-Hadamard's type inequalities for lower and strongly convex functions on normed spaces ⋮ Order generalised gradient and operator inequalities ⋮ A Survey of Reverse Inequalities for f-Divergence Measure in Information Theory ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Some refinements of Ky Fan's inequality
• Some refinements of Jensen's inequality
• 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

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