On Jensen-McShane's inequality

DOI10.1007/s10998-009-10139-xzbMath1212.26044OpenAlexW2075725623MaRDI QIDQ1046882

Josip E. Pečarić, Vera Čuljak, Božidar Ivanković

Publication date: 29 December 2009

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-009-10139-x

zbMATH Keywords

Jensen's inequalityconvex functionslinear functionalsinequalities of Hölder typeJessen's generalization of Jensen's inequalityMcShane's generalization of Jensen's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (3)

Refinements of Jensen's and McShane's inequalities with applications ⋮ Superadditivity of the Levinson functional and applications ⋮ On the properties of McShane's functional and their applications

Cites Work

• Convex functions, partial orderings, and statistical applications
• Bounds for the normalised Jensen functional
• Jensen’s inequality
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