Best Simultaneous Approximation of Finite Set in Inner Product Space


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.

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S. Akbarzadeh and M. Iranmanesh, "Best Simultaneous Approximation of Finite Set in Inner Product Space," Advances in Pure Mathematics, Vol. 3 No. 5, 2013, pp. 479-481. doi: 10.4236/apm.2013.35069.

Conflicts of Interest

The authors declare no conflicts of interest.


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[3] W. C. Charles, “Linear Algebra,” 1968, p. 62.
[4] V. Prasolov and V. M. Tikhomirov, “Geometry,” American Mathematical Society, 2001, p. 22.

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