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On Copositive Approximation in Spaces of Continuous Functions I:The Alternation Property of Copositive Approximation 被引量:1

On Copositive Approximation in Spaces of Continuous Functions I:The Alternation Property of Copositive Approximation
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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.
作者 Aref K.Kamal
出处 《Analysis in Theory and Applications》 CSCD 2015年第4期354-372,共19页 分析理论与应用(英文刊)
关键词 Strict Chebyshev spaces best copositive approximation change of sign Strict Chebyshev spaces best copositive approximation change of sign
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  • 1Cheney, E W , Introduction to Approximation Theory, McGrow-Hill Book Company, 1966.
  • 2Kamal, A K , The Similarity Between the Best Approximation and the Best Copositive Approximation, J Numer Funct Anal And Optimiz , 18:(7&8)(1997), 789-803.
  • 3Passow, E. and Raymon L , Copositive Polynomial Approximation, J Approx Theory, 12(1974), 299-304.
  • 4Passow, E and Taylor, G D , An Alternation Theory for Copositive Approximation, .I. Approx. Theory, 19(1977), 123-134.
  • 5Zhong, J , Best Copositive Approximation, J Approx Theory, 72(1993), 210-233.
  • 6Zielke, R , Discontinuous Chebyshev System, Lecture Notes in Mathematics, Vol. 707,Springer-Verlag, Berlin-Heidelberg-New York, 1979.

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