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Article Dans Une Revue Jaén Journal on Approximation Année : 2009

On differentiation formulae for Chebyshevian Bernstein and B-spline bases

Résumé

Differentiation formulæ for Chebyshevian Bernstein bases do exist, which generalise the classical ones for Bernstein polynomials. We show how they are connected with blossoming and we derive from them interesting equalities concerning the equivalent of the so-called Greville abscissæ. We also consider the case of Chebyshevian B-spline bases.
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Dates et versions

hal-00394089 , version 1 (10-06-2009)

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  • HAL Id : hal-00394089 , version 1

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Marie-Laurence Mazure. On differentiation formulae for Chebyshevian Bernstein and B-spline bases. Jaén Journal on Approximation, 2009, 1 (1), pp.111-143. ⟨hal-00394089⟩
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