The converse of the Hermite-Hadamard inequality on simplices

DOI10.1016/j.exmath.2012.08.011zbMath1259.26014OpenAlexW1964648884MaRDI QIDQ1931420

Eleutherius Symeonidis, Flavia-Corina Mitroi-Symeonidis

Publication date: 14 January 2013

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2012.08.011

zbMATH Keywords

convexityBorel measuresimplexHermite-Hadamard inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (8)

Refining the Hermite-Hadamard inequalities for operator convex maps in multiple operator variables ⋮ Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in \(\mathbb{R}^n\) ⋮ Improvements of the Hermite-Hadamard inequality for the simplex ⋮ A Criterion for the Converse of the Hermite-Hadamard Inequality on Simplices ⋮ Refining and reversing the Hermite-Hadamard inequality for the Fenchel conjugate ⋮ Some triple integral inequalities for functions defined on three-dimensional bodies via Gauss-Ostrogradsky identity ⋮ REFINING RECURSIVELY THE HERMITE–HADAMARD INEQUALITY ON A SIMPLEX ⋮ Further refinements and reverses of the Hermite-Hadamard inequalities for multivariate operator convex maps

Cites Work

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• The Hermite-Hadamard inequality for convex functions on a global NPC space
• Inequalities involving multivariate convex functions
• Old and new on the Hermite-Hadamard inequality
• On some inequality of Hermite-Hadamard type
• The Hermite—Hadamard Inequality on Simplices
• The Hermite-Hadamard inequality for convex functions of a vector variable
• Refinements of Hermite-Hadamard inequality on simplices
• Convex functions and their applications. A contemporary approach

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