TY - JOUR
T1 - On Copositive Approximation in Spaces of Continuous Functions I: The Alternation Property of Copositive Approximation
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 - <p style="text-align: justify;">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 $Q$.</p>