More accurate Jensen-type inequalities based on the Lidstone interpolation formula

DOI10.1007/s00025-023-02027-wOpenAlexW4387425313MaRDI QIDQ6078339

Josip E. Pečarić, Neda Lovričević, Mario Krnić, Marija Bošnjak

Publication date: 24 October 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-023-02027-w

zbMATH Keywords

Green functionJensen inequalityLidstone polynomialhigher order convexitycomplete convexity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

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• Convex functions, partial orderings, and statistical applications
• Properties of some functionals related to Jensen's inequality
• On the properties of McShane's functional and their applications
• Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions
• Jensen-type inequalities, Montgomery identity and higher-order convexity
• Generalization of Jensen's inequality by Lidstone's polynomial and related results
• Completely Convex Functions and Lidstone Series

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