SIMULTANEOUS APPROXIMATION FROM CONVEX-SETS

被引：12
|
作者：
SHI, J
HUOTARI, R
机构：
[1] Department of Mathematics, Idaho State University, Pocatello
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 30卷 / 3-6期
关键词：
BEST APPROXIMATION; CONVEX; SIMULTANEOUS; GATEAUX DERIVATIVE;
D O I：
10.1016/0898-1221(95)00097-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize best simultaneous approximation from convex sets, in terms of one-sided Gateaux derivatives, using the l(1) and l(infinity) vectorial norms, in a general setting and in L(1) In L(1) we give necessary and sufficient conditions for uniqueness. We show that p-type modulus of convexity implies order p-strong unicity of the best l(infinity) simultaneous approximation.
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页码：197 / 206
页数：10
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