论文标题
大地凸功能的新概括
New generalization of geodesic convex function
论文作者
论文摘要
作为大地函数的概括，本文介绍了测量$φ_{e} $ -convex函数的概念。建立了$φ_{E} $ -CONVEX函数的某些属性和地球$φ_{E} $ -CONVEX函数。 Geodesic $φ_{E} $ -CONVEX SET和$φ_{e} $ - ePigraph的概念是同样给出的。还可以获得Geodesic $φ_{E} $ -Convex功能的表征，以其$φ_{E} $ epigraphs的函数。
As a generalization of geodesic function, this paper introduces the notion of geodesic $ φ_{E} $-convex function. Some properties of $ φ_{E} $-convex function and geodesic $ φ_{E} $-convex function are established. The concepts of geodesic $ φ_{E} $-convex set and $ φ_{E} $-epigraph are equally given. The characterization of geodesic $ φ_{E} $-convex functions in terms of their $ φ_{E} $-epigraphs are also obtained.
