TY - JOUR T1 - On Copositive Approximation in Spaces of Continuous Functions I: The Alternation Property of Copositive Approximation AU - A. K. Kamal JO - Analysis in Theory and Applications VL - 4 SP - 354 EP - 372 PY - 2017 DA - 2017/10 SN - 31 DO - http://doi.org/10.4208/ata.2015.v31.n4.2 UR - https://global-sci.org/intro/article_detail/ata/4644.html KW - Strict Chebyshev spaces, best copositive approximation, change of sign. AB -

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 $Q$.