Improving Jensen-type inequalities via the sum of the Lidstone polynomials

DOI10.1007/s40840-024-01670-yOpenAlexW4392378310MaRDI QIDQ6196814

Mario Krnić

Publication date: 15 March 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-024-01670-y

zbMATH Keywords

Green functionJensen inequalityLidstone polynomialabsolute 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

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