Refinement of the right-hand side of Hermite-Hadamard inequality for simplices
arXiv:1509.02569 · doi:10.1007/s00010-016-0433-z
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.
Correctet statement of Corollary 4.4