刊物主题:Analysis; Applications of Mathematics; Mathematics, general;
出版者:Springer International Publishing
ISSN:1029-242X
卷排序:2017
文摘
In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its vertices. A two-sided refinement of the generalized inequality is obtained in completion of this work.