论文标题
从凸分析观点吞没的属性
The Engulfing Property from a Convex Analysis Viewpoint
论文作者
论文摘要
在本说明中,我们提供了一个简单的证明,证明具有吞噬属性的凸功能所享有的某些属性。特别是,仅利用凸分析特有的结果,我们证明可不同的性能和严格的凸性是吞噬属性的内在条件。
In this note we provide a simple proof of some properties enjoyed by convex functions having the engulfing property. In particular, making use only of results peculiar to convex analysis, we prove that differentiability and strict convexity are conditions intrinsic to the engulfing property.