凸函数的延拓
Extension of Convex Function
摘要：
研究了局部和整体凸性，它与将非凸区域上的凸函数延拓为该区域的凸包上和凸包外的凸函数的问题密切相关。对于由正定Hessian定义的凸性，我们也给出了相应的结果。
英文摘要：
We study the local and global versions of the convexity, which is closely related to the problem of extending a convex function on a non-convex domain to a convex function on the convex hull of the domain and beyond the convex hull. We also give the parallel results for the convexity defined by positive definite Hessian.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
