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The converse of the Hermite–Hadamard inequality on simplices

Article ID Journal Published Year Pages File Type
4582417 Expositiones Mathematicae 2012 8 Pages PDF
Abstract

We prove that the Hermite–Hadamard inequality on simplices characterizes convex functions under some assumptions on the measure.

Keywords
SimplexBorel measureHermite?Hadamard inequality
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
The converse of the Hermite–Hadamard inequality on simplices
Authors
Flavia-Corina Mitroi, Eleutherius Symeonidis,
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Expositiones Mathematicae
Journal: Expositiones Mathematicae
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