苏州科技大学学报（自然科学版）2021，Vol.38Issue(1)：21-28,37,9.DOI:10.12084/j.issn.2096-3289.2021.01.004
球面凸集支撑函数的凸性
The s-convexity of support functions of spherically convex sets
摘要
Abstract
In this paper,we investigated the spherical support functions of s-convex sets,attempting to find their essential properties. For a given proper closed s-convex set,there is s-convex set decomposition on the domain of its s-support function,such that its s-support function is s-convex or s-concave on each component of such a decomposition. The re-sults obtained here might be helpful in establishing a systematic spherical convexity theory.关键词
球凸集/球面凸性/球凸集支撑函数Key words
spherically convex set/spherical support function/spherical convexity分类
数理科学引用本文复制引用
谭雪,国起..球面凸集支撑函数的凸性[J].苏州科技大学学报（自然科学版）,2021,38(1):21-28,37,9.基金项目
国家自然科学基金资助项目(12071334 （）
11671293) （）
