Hermite-Hadamard type inequalities for operator geometrically convex functions

DOI10.1007/s00605-015-0816-6zbMath1354.26050arXiv1508.03109OpenAlexW2963359767MaRDI QIDQ314497

Mohammad Hasan, M. Dambrine

Publication date: 16 September 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03109

zbMATH Keywords

trace inequalityunitarily invariant normHermite-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 (12)

Hermite-Hadamard type inequalities for operator geometrically convex functions II ⋮ Reverses of operator Féjer's inequalities ⋮ Hermite-Hadamard type inequalities for operator geometrically convex functions ⋮ Reverse Jensen integral inequalities for operator convex functions in terms of Fréchet derivative ⋮ On the matrix Cauchy-Schwarz inequality ⋮ Norm inequalities for the difference between weighted and integral means of operator differentiable functions ⋮ Unnamed Item ⋮ Some refinements for the arithmetic-geometric mean and Cauchy-Schwarz matrix norm interpolating inequalities ⋮ Some Hermite-Hadamard type integral inequalities for operator AG-preinvex functions ⋮ Unnamed Item ⋮ Operator Schur convexity and some integral inequalities ⋮ Hermite-Hadamard type inequalities for operator (p,h)-convex functions

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