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Bases de type schauder deC[0,1] et formules de quadrature associées

Bases of schauder type inC[0, 1] and associated quadrature formulas

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Résumé

On caractérise deux familles de bases deC[0,1] et l'on étudie les formules de quadrature associées. On montre en particulier que les formules de quadrature de Romberg proviennent d'une suite de bases engendrées par des polynômes.

Summary

We characterize two families of bases ofC[0,1] and we study the associated quadrature formulae. In particular, we prove that the Romberg quadrature formulae come from a sequence of bases generated by polynomials.

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  1. I.U.T. Informatique, Sac Postal n0 5, F-59650, Villeneuve d'Ascq, France

    Paul Sablonniere

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  1. Paul Sablonniere
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Sablonniere, P. Bases de type schauder deC[0,1] et formules de quadrature associées. Numer. Math. 30, 227–240 (1978). https://doi.org/10.1007/BF02042946

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  • DOI: https://doi.org/10.1007/BF02042946

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