Levinson's type generalization of the Jensen inequality and its converse for real Stieltjes measure

DOI10.1186/s13660-016-1274-yzbMath1354.26042OpenAlexW2563117830WikidataQ40632791 ScholiaQ40632791MaRDI QIDQ502320

Mirna Rodić, Rozarija Mikić, Josip E. Pečarić

Publication date: 4 January 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1274-y

zbMATH Keywords

Green functionJensen inequalityHermite-Hadamard inequalityLevinson inequalitymean-value theoremsconverse Jensen inequalityGiaccardi inequality

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

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Cites Work

• Convex functions, partial orderings, and statistical applications
• Generalization of an inequality of Ky Fan
• Generalized Jensen-Steffensen and related inequalities
• A best possible Hadamard inequality
• Generalization of Levinson's inequality
• Levinson's type generalization of the Edmundson-Lah-Ribarič inequality
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