TITLE:
Best Simultaneous Approximation of Finite Set in Inner Product Space
AUTHORS:
Sied Hossein Akbarzadeh, Mahdi Iranmanesh
KEYWORDS:
Best Approximation; Hyperplane; Best Simultaneous Approximation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.5,
August
2,
2013
ABSTRACT:
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.