Some inequalities associated with the Hermite-Hadamard inequalities for operator h-convex functions

DOI10.12697/ACUTM.2017.21.20MaRDI QIDQ4638300

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Publication date: 4 May 2018

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

trace inequalityHermite-Hadamard inequalitylinear mapoperator \(h\)-convex function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Inequalities for sums, series and integrals (26D15)

Related Items (10)

Hermite-Hadamard type inequalities for operator geometrically convex functions II ⋮ Reverses of operator Féjer's inequalities ⋮ Some inequalities for operator \((\varphi, h)\)-convex functions ⋮ Reverse Jensen integral inequalities for operator convex functions in terms of Fréchet derivative ⋮ On some operator inequalities with respect to the \(s\)-convexity ⋮ Norm inequalities for the difference between weighted and integral means of operator differentiable functions ⋮ Some Hermite-Hadamard type integral inequalities for operator AG-preinvex functions ⋮ On a generalization of an approximation operator defined by A. Guessab ⋮ Operator Schur convexity and some integral inequalities ⋮ Jensen-Mercer type inequalities for operator \(h\)-convex functions

Cites Work

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• Hermite-Hadamard's type inequalities for operator convex functions
• On \(h\)-convexity
• Commutativity of operators
• Hermite and convexity
• Convex functions, partial orderings, and statistical applications
• Commutativity of selfadjoint operators
• Some remarks on \(s\)-convex functions
• A Schwarz Inequality for Convex Operator Functions
• On some Hadamard-type inequalities for h-convex functions
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Convex functions

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