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Quasi Extended Chebyshev spaces and weight functions

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Abstract

We recently showed that the class of Quasi Extended Chebyshev spaces is the largest class of sufficiently differentiable functions permitting design. In previous articles we mentioned a simple procedure to build such spaces by means of both generalised derivatives associated with non-vanishing weight functions and two-dimensional Chebyshev spaces. In the present one we prove that, conversely, on a closed bounded interval, any Quasi Extended Chebyshev space can be obtained via the latter procedure. We then draw a few interesting consequences from the latter result.

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  1. Laboratoire Jean Kuntzmann, Université Joseph Fourier, BP53, 38041, Grenoble Cedex 9, France

    Marie-Laurence Mazure

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  1. Marie-Laurence Mazure
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Correspondence to Marie-Laurence Mazure.

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Mazure, ML. Quasi Extended Chebyshev spaces and weight functions. Numer. Math. 118, 79–108 (2011). https://doi.org/10.1007/s00211-010-0312-9

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  • DOI: https://doi.org/10.1007/s00211-010-0312-9

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