Hermite-Hadamard type inequalities for operator geometrically convex functions II

zbMath1477.26041arXiv1802.07018MaRDI QIDQ4957129

Vahid Darvish, Ali Taghavi, Tahere Azimi Roushan

Publication date: 3 September 2021

Full work available at URL: https://arxiv.org/abs/1802.07018

zbMATH Keywords

Hermite-Hadamard inequalityoperator geometrically convex function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

On some operator inequalities with respect to the \(s\)-convexity

Cites Work

• Hermite-Hadamard type inequalities for operator geometrically convex functions
• A Lewent type determinantal inequality
• Hermite-Hadamard's type inequalities for operator convex functions
• Weighted geometric mean of \(n\)-operators with \(n\)-parameters
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Means of positive linear operators
• Some refinements for the arithmetic-geometric mean and Cauchy-Schwarz matrix norm interpolating inequalities
• Convexity according to the geometric mean
• Some inequalities associated with the Hermite-Hadamard inequalities for operator h-convex functions
• Weighted means and Karcher equations of positive operators
• Convex functions and their applications. A contemporary approach

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