Reverse Jensen-Mercer Type Operator Inequalities

DOI10.13001/1081-3810.3058zbMath1347.47011OpenAlexW2310545763MaRDI QIDQ2813043

Mohammad Reza Changalvaiy, Ehsan Anjidani

Publication date: 14 June 2016

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/61ef25fda50acd70f8dc8545c1f701c60d280089

zbMATH Keywords

convex functionsuperquadratic functionJensen-Mercer operator inequalityoperator power meanoperator quasi-arithmetic mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (10)

On subadditivity and superadditivity of functions on positive operators ⋮ Hermite-Jensen-Mercer type inequalities for conformable integrals and related results ⋮ New variant of Hermite-Jensen-Mercer inequalities via Riemann-Liouville fractional integral operators ⋮ Hermite-Jensen-Mercer type inequalities via \(\Psi\)-Riemann-Liouville \(k\)-fractional integrals ⋮ Jensen-Mercer operator inequalities involving superquadratic functions ⋮ JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS ⋮ The Hermite-Hadamard-Mercer type inequalities via generalized proportional fractional integral concerning another function ⋮ On the operator Jensen-Mercer inequality ⋮ On operator inequalities of Jensen type for convex functions ⋮ Jensen-Mercer type inequalities for operator \(h\)-convex functions

Cites Work

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• A variant of the Jensen-Mercer operator inequality for superquadratic functions
• A variant of Jensen's inequality of Mercer's type for operators with applications
• Some functions reversing the order of positive operators
• Function order of positive operators based on the Mond-Pečarić method
• Refinements of the operator Jensen-Mercer inequality

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