Further Jensen-Mercer's type inequalities for convex functions

DOI10.7153/JMI-2024-18-39zbMATH Open1541.26045MaRDI QIDQ6570486

Hamid Reza Moradi, Mohsen Erfanian Omidvar, Shigeru Furuichi, Mahmoud Hassani, Faezeh Parvin Mohebbi

Publication date: 10 July 2024

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

zbMATH Keywords

convex functioncontinuous functional calculusJensen-Mercer inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

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• Radical convex functions
• On inequalities of Bellman and Aczél type
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• Improvement and generalization of some Jensen-Mercer-type inequalities
• OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES SATISFY CERTAIN CONVEXITY ASSUMPTIONS
• Composite convex functions
• Refinements of the operator Jensen-Mercer inequality
• Refined inequalities on the weighted logarithmic mean
• Some operator inequalities via convexity
• Wigner-Yanase-Dyson function and logarithmic mean

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