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

Abstract

On Copositive In this paper the author writes a simple characterization for the best copositiveapproximation to elements of C（Q） by elements of finite dimensional strict Chebyshevsubspaces of C（Q） in the case when Q is any compact subset of real numbers. Atthe end of the paper the author applies this result for different classes of Q.