摘要
在定义了R2的单调范数以后，得到了RS集对两个最佳元逼近的新特征。当X是p一致凸Banach空间时，证明了凸集对两个元的最佳同时逼近必是p阶强唯一的(p>1)。
After defining monotonic norm in R2 in this paper, new Characterization is obtained for best simultaneous approximation from RS-sets two element. The theorem that a best simultaneous approximation is also strongly unique of order P from convex sets two elements is proved of X is a p-uniformly convex Banach space.
出处
《湘潭师范学院学报（社会科学版）》
2000年第6期27-30,共4页
Journal of Xiangtan Normal University(Social Science Edition)
关键词
RS集
凸集
最佳同时逼近
BANACH空间
RS-set
convex set
best simultaneous approximation
p-uniformly convex Banach space
