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Formule d’Erreur dans l’Interpolation Rationnelle Multipoints d’une Fonction de la Variable Complexe

Part of the Lecture Notes in Mathematics book series (LNM,volume 1071)

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Nous rappelons tout d’abord l’expression de deux polynômes u et v, dou⩽L, dov⩽M, tels que la fraction u/v (si elle existe) coïncide avec f holomorphe, aux points d’interpolation z0,z1,...,zL+M, certains d’entre eux éventuellement confondus. Une expression intégrale du reste permet ensuite de montrer la convergence d’une suite particulière de fractions vers f dans le cas suivant: f méromorphe ayant M pôles dans un disque centré en 0.

Keywords

  • Condition Suffisantes
  • Nous Rappelons
  • Degre Inferieur
  • Fraction Rationnelle
  • Difference Divisees

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliographie

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© 1984 Springer-Verlag

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Chaffy, C. (1984). Formule d’Erreur dans l’Interpolation Rationnelle Multipoints d’une Fonction de la Variable Complexe. In: Werner, H., Bünger, H.J. (eds) Padé Approximation and its Applications Bad Honnef 1983. Lecture Notes in Mathematics, vol 1071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099609

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  • DOI: https://doi.org/10.1007/BFb0099609

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