Best Simultaneous Approximation of Finite Set in Inner Product Space

作     者：Sied Hossein Akbarzadeh Mahdi Iranmanesh 

作者机构：Department of Mathematical Sciences Shahrood University of Technology Shahrood Iran 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2013年第3卷第5期

页      面：479-481页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Best Approximation Hyperplane Best Simultaneous Approximation 

摘      要：In this paper, we find a way to give best simultaneous approximation of n arbitrary points in convex sets. First, we introduce a special hyperplane which is based on those n points. Then by using this hyperplane, we define best approximation of each point and achieve our purpose.