Hermite-Hadamard inequality for point-wise convex maps and Legendre-Fenchel conjugation

DOI10.7153/mia-16-10zbMath1261.26019OpenAlexW2325713704MaRDI QIDQ4908605

Mustapha Raïssouli, Sever Silvestru Dragomir

Publication date: 6 March 2013

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-16-10

zbMATH Keywords

convex analysisHermite-Hadamard inequalityoperator and functional meansLegendre-Fenchel conjugationpoint-wise convex maps

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Nonstandard functional analysis (46S20) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

Refining the Hermite-Hadamard inequalities for operator convex maps in multiple operator variables ⋮ The logarithmic mean of two convex functionals ⋮ 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

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