单纯形上的Hermite-Hadamard不等式的改进。
Improvements of the Hermite-Hadamard inequality for the simplex.
作者信息
Pavić Zlatko
机构信息
Department of Mathematics, Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Slavonski Brod, 35000 Croatia.
出版信息
J Inequal Appl. 2017;2017(1):3. doi: 10.1186/s13660-016-1273-z. Epub 2017 Jan 3.
Abstract
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.
摘要
在本研究中，其顶点为给定单形面重心的单形起着至关重要的作用。本文将Hermite-Hadamard不等式从单形重心扩展到内接单形除顶点外的任意点。在这项工作的完成过程中得到了广义不等式的双边精细化结果。
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