Further refinements and reverses of the Hermite-Hadamard inequalities for multivariate operator convex maps

DOI10.1007/s43036-022-00229-7OpenAlexW4308314783MaRDI QIDQ2106150

Mustapha Raïssouli

Publication date: 8 December 2022

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-022-00229-7

zbMATH Keywords

Hermite-Hadamard inequalitiesoperator convex maps in multiple operator variablessimplex of \(\mathbb{R}^n\)

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A refinement of the left-hand side of Hermite-Hadamard inequality for simplices
• Improvements of the Hermite-Hadamard inequality for the simplex
• A refinement of the right-hand side of the Hermite-Hadamard inequality for simplices
• Hermite-Hadamard's type inequalities for operator convex functions
• Means of positive linear operators
• The weighted logarithmic mean
• Another refinement of the right-hand side of the Hermite-Hadamard inequality for simplices
• Old and new on the Hermite-Hadamard inequality
• Geometric means
• The converse of the Hermite-Hadamard inequality on simplices
• Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
• Refining and reversing the Hermite-Hadamard inequality for the Fenchel conjugate
• On a method of construction of new means with applications
• Refinements of Hermite-Hadamard type inequalities for operator convex functions
• Inequalities of Hermite-Hadamard type for functions of selfadjoint operators and matrices
• The Hermite—Hadamard Inequality on Simplices
• The Logarithmic Mean in n Variables
• The Hermite-Hadamard inequality for convex functions of a vector variable
• Hermite-Hadamard inequality for point-wise convex maps and Legendre-Fenchel conjugation
• Refinements of Hermite-Hadamard inequality on simplices
• Characterizations of convexity via Hadamard's inequality
• REFINING RECURSIVELY THE HERMITE–HADAMARD INEQUALITY ON A SIMPLEX
• Lectures on Choquet's theorem

This page was built for publication: Further refinements and reverses of the Hermite-Hadamard inequalities for multivariate operator convex maps