Improvements of the Hermite-Hadamard inequality for the simplex

DOI10.1186/s13660-016-1273-zzbMath1354.26018OpenAlexW2566374501WikidataQ40632658 ScholiaQ40632658MaRDI QIDQ502317

Zlatko Pavić

Publication date: 4 January 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1273-z

zbMATH Keywords

convex combinationsimplexHermite-Hadamard inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity of real functions of several variables, generalizations (26B25)

Related Items (7)

Refining the Hermite-Hadamard inequalities for operator convex maps in multiple operator variables ⋮ On fractional Simpson type integral inequalities for co-ordinated convex functions ⋮ The Fejér inequality and its generalizations ⋮ A multivariate version of Hammer's inequality and its consequences in numerical integration ⋮ Inequalities with infinite convex combinations in the simplices ⋮ 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

Cites Work

• A refinement of the left-hand side of Hermite-Hadamard inequality for simplices
• Improvements of the Hermite-Hadamard inequality
• Old and new on the Hermite-Hadamard inequality
• The converse of the Hermite-Hadamard inequality on simplices
• On the Hermite-Hadamard inequality for convex functions of two variables
• On some inequality of Hermite-Hadamard type
• Inequalities Involving Multivariate Convex Functions II
• The Hermite—Hadamard Inequality on Simplices
• Simple proof and refinement of Hermite-Hadamard inequality
• Convexity results and sharp error estimates in approximate multivariate integration
• Refinements of Hermite-Hadamard inequality on simplices
• Hermite-Hadamard-type inequalities in the approximate integration
• Jensen’s inequality
• Convex functions and their applications. A contemporary approach

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