Abstract
The purpose of this paper is to develop a theory for best uniform copositive rational approximation of continuous functions. In Section 2 the basic definitions and notations needed for the problem are presented. Existence and characterization of best copositive rational approximants on a closed interval are discussed in Section 3 and uniqueness and strong uniqueness are developed in Section 4. The continuity of the best copositive rational approximation operator is discussed in Section 5 and finally, in Section 6, the interval [a, b] is replaced by a finite subset of it and some discretization results are given. This paper generalizes the work of [3]. 2.
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