New improvement of the converse Jensen inequality

DOI10.7153/mia-2018-21-17zbMath1382.26024OpenAlexW2766703212MaRDI QIDQ4604547

Jurica Perić, Josip E. Pečarić

Publication date: 2 March 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2018-21-17

zbMATH Keywords

convex functionspositive linear functionalconverse Jensen inequalityconverse Hölder inequalityconverse Minkowski inequalityquasi-arthmetic mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (7)

Refinements of Jensen's inequality via majorization results with applications in the information theory ⋮ Several Jensen-grüss inequalities with applications in information theory ⋮ New improvements of Jensen's type inequalities via 4-convex functions with applications ⋮ A new refinement of the Jensen inequality with applications in information theory ⋮ Inequalities of the Edmundson-Lah-Ribarič type for \(n\)-convex functions with applications ⋮ Unnamed Item ⋮ New refinement of the Jensen inequality associated to certain functions with applications

Cites Work

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• On the converse Jensen inequality
• On Jessen's inequality for convex functions
• Convex functions, partial orderings, and statistical applications
• Über die maximalen Abstände und Verhältnisse verschiedener Mittelwerte
• On Knopp's Inequality for Convex Functions
• Improved Jensen-type inequalities via linear interpolation and applications

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