Refinements of Hermite-Hadamard type inequalities for operator convex functions

DOI10.1186/1029-242X-2013-262zbMath1282.26029WikidataQ59300329 ScholiaQ59300329MaRDI QIDQ2637518

Ramazan Türkmen, Vildan Bacak

Publication date: 12 February 2014

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

zbMATH Keywords

self-adjoint operatorsHermite-Hadamard inequalityoperator convex functions

Mathematics Subject Classification ID

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

Related Items (9)

Reverses of operator Féjer's inequalities ⋮ Refining the Hermite-Hadamard inequalities for operator convex maps in multiple operator variables ⋮ Reverse Jensen integral inequalities for operator convex functions in terms of Fréchet derivative ⋮ Norm inequalities for the difference between weighted and integral means of operator differentiable functions ⋮ Refinements of Hermite-Hadamard inequality for operator convex function ⋮ Operator Schur convexity and some integral inequalities ⋮ Some Hermite-Hadamard type inequalities for operator convex functions and positive maps ⋮ Refining and reversing the Hermite-Hadamard inequality for the Fenchel conjugate ⋮ Further refinements and reverses of the Hermite-Hadamard inequalities for multivariate operator convex maps

Cites Work

• Hermite-Hadamard's type inequalities for operator convex functions
• New Hermite-Hadamard-type inequalities for convex functions. II
• Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces

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