Jensen-Mercer type inequalities for operator \(h\)-convex functions

DOI10.1007/s41980-021-00652-1OpenAlexW3209021143MaRDI QIDQ2079823

Mostafa Abbasi, Ali Morassaei, Farzollah Mirzapour

Publication date: 30 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00652-1

zbMATH Keywords

Hilbert spaceoperator inequality\(h\)-convex functionJensen-Mercer inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15)

Cites Work

• A variant of Jensen's inequality of Mercer's type for operators with applications
• On \(h\)-convexity
• Generalized Jensen-Mercer inequality for functions with nondecreasing increments
• Jensen inequalities for \(P\)-class functions
• Reverse Jensen-Mercer Type Operator Inequalities
• More on operator Bellman inequality
• Bounds for the normalized Jensen-Mercer functional
• Some inequalities associated with the Hermite-Hadamard inequalities for operator h-convex functions
• Some inequalities for operator (p, h)-convex functions
• Note on generalization of the Jensen-Mercer inequality by Taylor's polynomial
• Refinements of the operator Jensen-Mercer inequality
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