The similarity between the best approximation and the best copositive approximation

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Abstract

In this paper the author studies the copositive approximation in C(Q) by elements of finite dimensional Chebyshev subspaces in the general case when Q is any totally ordered compact space. He studies the similarity between the behavior of the ordinary best approximation and the behavior of the copositive best approximation. At the end of this paper, the author isolates many cases at which the two behaviors are the same.

Original languageEnglish
Pages (from-to)789-803
Number of pages15
JournalNumerical Functional Analysis and Optimization
Volume18
Issue number7-8
Publication statusPublished - 1997

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Keywords

  • Best approximation
  • Changing of sign
  • Chebyshev spaces
  • Copositive approximation

ASJC Scopus subject areas

  • Applied Mathematics
  • Control and Optimization

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