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Schema iteratif d'interpolation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1438)

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Après avoir défini le schéma itératif d'interpolation, donné ses propriétés et quelques exemples, nous indiquerons une condition nécessaire et suffisante pour obtenir un prolongement continu à tout l'espace Rd. Une condition plus simple est démontrée lorsque le polynôme caractéristique du schéma est non négatif. Dans le cas unidimensionnel, nous rappelons l'étude de la régularité du schéma itératif de Lagrange de type (b, N). Quelques ajouts de calculs sont donnés. Le cas (2,4) y est exposé.

Keywords

  • Nous Avons
  • Nous Pouvons
  • Iterative Interpolation
  • Nous Utiliserons
  • Nous Rappelons

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Bibliographie

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© 1990 Springer-Verlag

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Deslauriers, G., Dubois, J., Dubuc, S. (1990). Schema iteratif d'interpolation. In: Lemarié, P.G. (eds) Les Ondelettes en 1989. Lecture Notes in Mathematics, vol 1438. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083517

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  • DOI: https://doi.org/10.1007/BFb0083517

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52932-3

  • Online ISBN: 978-3-540-47179-0

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