Distance to the intersection of normal sets and applications

被引：6
|
作者：
Rubinov, AM
Singer, I
机构：
[1] Univ Ballarat, Sch Informat Technol & Math Sci, Ballarat, Vic 3353, Australia
[2] Romanian Acad, Inst Math, RO-70700 Bucharest, Romania
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2000年 / 21卷 / 3-4期
关键词：
D O I：
10.1080/01630560008816970
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the distance to the intersection of an arbitrary family of normal sets is equal to the supremum of distances of the sets of the intersection. We apply this result to the study of inequalities involving increasing functions that are convex along rays starting from zero and, in particular, increasing positively homogeneous functions.
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页码：521 / 535
页数：15
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