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：
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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 .
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页码：105 / 130
页数：25
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