论文标题
球体上的大量和最小能量
Majorization and minimal energy on spheres
论文作者
论文摘要
在本文中，我们考虑了$ M $ m $点配置的F-Energy电位，我们考虑了多数化定理（也称为Karamata的不平等）和多数化的最小值（所谓的M-set）。特别是，我们展示了常规单纯形的最佳性，描述一些小型基数的M组，定义和讨论球形F-Designs。
In the present paper, we consider the majorization theorem (also known as Karamata's inequality) and the respective minima of the majorization (the so-called M-sets) for f-energy potentials of $m$-point configurations on the unit sphere. In particular, we show the optimality of regular simplexes, describe some M-sets of small cardinality, define and discuss spherical f-designs.
