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https://doi.org/10.1007/s00365-004-0583-4
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Cite Journal: Constructive Approximation |  Publication Date: Dec 22, 2004 |
 Citations: 67 |
Affiliation: Joseph Fourier University
We characterize extended Chebyshev spaces by the fact that any Hermite interpolation problem involving at most two different points has a unique solution. This enables us to prove that, in a given space, Bernstein bases exist if and only if the space obtained by differentiation is an extended Chebyshev space.
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