Abstract
An example is constructed showing that best uniform approximation (local or global) from $R_{n}^{m}(\mathbf{c})$ can not be characterized by linearization techniques or by alternation properties of the error function. A class of local best approximations are characterized, and used to demonstrate approximation properties of $R_{n}^{m}(\mathbf{c})$.
Citation
Daniel E. Wulbert. "On the characterization of complex rational approximations." Illinois J. Math. 24 (1) 140 - 155, Spring 1980. https://doi.org/10.1215/ijm/1256047801
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