Jensen-type inequalities, Montgomery identity and higher-order convexity

DOI10.1007/s00009-022-02133-zzbMath1495.26018OpenAlexW4295066429MaRDI QIDQ2675970

Marija Bošnjak, Mario Krnić, Josip E. Pečarić

Publication date: 26 September 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02133-z

zbMATH Keywords

Jensen inequalitysuperadditivityLah-Ribarič inequalitypower meanMontgomery identity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

More accurate Jensen-type inequalities based on the Lidstone interpolation formula ⋮ Improving Jensen-type inequalities via the sum of the Lidstone polynomials

Cites Work

• Weighted majorization theorems via generalization of Taylor's formula
• On Jessen's inequality for convex functions
• Convex functions, partial orderings, and statistical applications
• Properties of some functionals related to Jensen's inequality
• Uniform treatment of Jensen's inequality by Montgomery identity
• On the properties of McShane's functional and their applications
• Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions
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