ON THE SMOOTHNESS OF CONVEX ENVELOPES

被引：52

作者：

GRIEWANK, A ^{[1
]}

RABIER, PJ ^{[1
]}

机构：

[1] UNIV PITTSBURGH,DEPT MATH & STAT,PITTSBURGH,PA 15260

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1990年 / 322卷 / 02期

关键词：

D O I：

10.2307/2001721

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine differentiability properties of the convex envelope conv E of a given function E:R(n)-->(-infinity, infinity] in terms of properties of E. It is shown that C1 as well as optimal C1,-alpha regularity results, 0 < alpha less-than-or-equal-to 1, can be obtained under general conditions.

引用

页码：691 / 709

页数：19