On Copositive Approximation in Spaces of Continuous Functions I:The Alternation Property of Copositive Approximation  

作　　者：Aref K.Kamal 

机构地区：[1]Department of Mathematics and Statistics,S.Q.University

出　　处：《Analysis in Theory and Applications》2015年第4期354-372,共19页分析理论与应用（英文刊）

摘　　要：In this paper the author writes a simple characterization for the best copositive approximation to elements of C(Q) by elements of finite dimensional strict Chebyshev subspaces of C(Q) in the case when Q is any compact subset of real numbers. At the end of the paper the author applies this result for different classes of Q.In this paper the author writes a simple characterization for the best copositive approximation to elements of C(Q) by elements of finite dimensional strict Chebyshev subspaces of C(Q) in the case when Q is any compact subset of real numbers. At the end of the paper the author applies this result for different classes of Q.

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

分 类 号：O174.41[理学—数学]