On Functional Separately Convex Hulls

被引：0

作者：

J. Matoušek

P. Plecháč

机构：

[1] Department of Applied Mathematics,

[2] Charles University,undefined

[3] Malostranské nám. 25,undefined

[4] 118 00 Praha 1,undefined

[5] Czech Republic matousek@kam.mff.cuni.cz,undefined

[6] Department of Mathematics,undefined

[7] Heriot—Watt University,undefined

[8] Edinburgh EH14 4AS,undefined

[9] Scotland petr@ma.hw.ac.uk ,undefined

来源：

Discrete & Computational Geometry | 1998年 / 19卷

关键词：

Differential Equation; Mathematical Modeling; Partial Differential Equation; Convex Function; Convex Hull;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let D be a set of vectors in Rd . A function f:Rd→R is called D-convex if its restriction to each line parallel to a nonzero vector of D is a convex function. For a set A⊆Rd , the functional D-convex hull of A, denoted by coD(A) , is the intersection of the zero sets of all nonnegative D -convex functions that are 0 on A .

引用

页码：105 / 130

页数：25

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