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arxiv: 1509.02569 · v2 · pith:R54DIBVAnew · submitted 2015-09-08 · 🧮 math.CA

Refinement of the right-hand side of Hermite-Hadamard inequality for simplices

classification 🧮 math.CA
keywords hermite-hadamardinequalityrefinementright-handsidesimplicesvaluesaverage
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We establish a new refinement of the right-hand side of the Hermite-Hadamard inequality for simplices, based on the average values of a convex function over the faces of a simplex and over the values at their barycenters.

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