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 APM  Vol.3 No.5 , August 2013
Best Simultaneous Approximation of Finite Set in Inner Product Space
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.
Cite this paper: 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.
References

[1]   F.Deutsch, “Best Approximation in Inner Product Spaces,”Springer, Berlin, 2001.

[2]   D.Fang,X.Luo and Chong Li, “Nonlinear Simultaneous Approximation in Complete Lattice Banach Spaces,”Taiwanese Journal of Mathematics, 2008.

[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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