Abstract
A nontrivial function having the properties described in the title is given explicitly.
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Communicated by Carl de Boor.
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Newman, D.J., Rivlin, T.J. A continuous function whose divided differences at the Chebyshev extrema are all zero. Constr. Approx 2, 221–223 (1986). https://doi.org/10.1007/BF01893428
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DOI: https://doi.org/10.1007/BF01893428