On generalization of Levinson's inequality involving averages of 3-convex functions

DOI10.1186/s13660-023-03028-7OpenAlexW4386839577MaRDI QIDQ6182484

Josip E. Pečarić, G. Aras-Gazić, Ana Vukelić

Publication date: 21 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-023-03028-7

zbMATH Keywords

divided differencesLevinson inequality\(n\)-convex function\((n, m)\)-convex function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Spline approximation (41A15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Inequalities involving other types of functions (26D07)

Cites Work

• Schur-convexity of averages of convex functions
• Favard's inequality on average values of convex functions
• Convexity of the integral arithmetic mean of a convex function
• Some divided difference inequalities for n-convex functions
• Convex functions, partial orderings, and statistical applications
• Generalization of an inequality of Ky Fan
• On Levinson's inequality involving averages of 3-convex functions
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