Hermite-Hadamard type inequalities for functions whose derivatives are operator convex

DOI10.1007/s11785-016-0542-7zbMath1368.26023OpenAlexW2286395437MaRDI QIDQ520140

Amir G. Ghazanfari

Publication date: 3 April 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0542-7

zbMATH Keywords

operator inequalitiesHermite-Hadamard inequalityFréchet differentiable functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Vector-valued measures and integration (46G10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (7)

Matrix inequalities via Bernstein functions ⋮ Reverses of operator Féjer's inequalities ⋮ 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 ⋮ Hermite–Hadamard’s inequality for pseudo-fractional integral operators ⋮ Some new inequalities of operator \(m\)-convex functions and applications for synchronous-asynchronous functions ⋮ Operator Schur convexity and some integral inequalities

Cites Work

• Hermite-Hadamard's type inequalities for operator convex functions
• Differentiation of operator functions and perturbation bounds
• First and second order perturbation bounds for the operator absolute value
• Operator convex functions of several variables
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Perturbation bounds for the operator absolute value
• A Grüss type inequality for vector-valued functions in Hilbert \(C^*\)-modules
• Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions
• Operator Jensen's inequality on \(C^\ast\)-algebras
• Matrix Hermite-Hadamard type inequalities
• Operator-valued Bochner integrable functions and Jensen's inequality
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