On Copositive Approximation in Spaces of Continuous Functions Ⅱ:The Uniqueness of Best Copositive Approximation  

On Copositive Approximation in Spaces of Continuous Functions Ⅱ:The Uniqueness of Best Copositive Approximation

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作  者:Aref K. Kamal 

机构地区:[1]Department of Mathematics and Statistics, S. Q. University, P.O. Box 36 AI Khoudh123 Muscat, Sultanate of Oman

出  处:《Analysis in Theory and Applications》2016年第1期20-26,共7页分析理论与应用(英文刊)

摘  要:This paper is part II of "On Copositive Approximation in Spaces of Contin- uous Functions". In this paper, the author shows that if Q is any compact subset of real numbers, and M is any finite dimensional strict Chebyshev subspace of C (Q), then for any admissible function f ∈ C(Q)/M, the best copositive approximation to f from M is unique.This paper is part II of "On Copositive Approximation in Spaces of Contin- uous Functions". In this paper, the author shows that if Q is any compact subset of real numbers, and M is any finite dimensional strict Chebyshev subspace of C (Q), then for any admissible function f ∈ C(Q)/M, the best copositive approximation to f from M is unique.

关 键 词:Strict Chebyshev spaces best copositive approximation change of sign. 

分 类 号:O241.5[理学—计算数学]

 

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