Abstract
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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Nowicka, M., Witkowski, A. A refinement of the right-hand side of the Hermite–Hadamard inequality for simplices. Aequat. Math. 91, 121–128 (2017). https://doi.org/10.1007/s00010-016-0433-z
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DOI: https://doi.org/10.1007/s00010-016-0433-z