赋范线性空间中的最佳共逼近

Best Co-approximation in Normed Linear Space

本文考察了赋范线性空间中的最佳共逼近,给出了Kolmogrov型特征定理,推广了Papini及Singer的相应结论。同时也研究了广义强共逼近,揭示了最佳共逼近与最佳逼近的区别与联系。

In this paper,the authors investigate the best co-approwimation in normed linear space.The charaterization of co-Kolmogoror Condition is given, it exteads the main theorem of papini and Singer.Moreover,the authors make a study of the generalized strong co-approxincation,with an example to illustrate the difference and relation ship between the best co-approximatron and the best approximation.