On differentiation formulæ for Chebyshevian Bernstein and B-spline bases

• Autores: Marie-Laurence Mazure
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 1, Nº. 1, 2009, págs. 111-143
• Idioma: inglés
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• Resumen

  • 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.