Resume
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
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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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