A characterization of badly approximable functions
S. J. Poreda
Trans. Amer. Math. Soc. 169 (1972), 249-256
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Abstract: Complex valued functions, continuous on a closed Jordan curve in the plane and having the property that all of their polynomials of best uniform approximation on that curve are identically zero are characterized in terms of their mapping properties on that curve.
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Badly approximable functions,
best uniform approximation,
closed Jordan curve
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