From Taylor interpolation to Hermite interpolation via duality - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Jaén Journal on Approximation Année : 2012

From Taylor interpolation to Hermite interpolation via duality

Résumé

The present work concerns W-spaces, that is, spaces which permit Taylor interpolation on a given interval. We introduce the critical length of any given W-space E as the supremum of all positive h ensuring that E permits Hermite interpolation ( i.e. , E is an Extended Chebyshev space) on any subinterval of length h . The critical length may be equal to 0, but it is always positive if the interval is closed and bounded. Any W-space is allocated to a dual space. When the dual space is a W-space in turn, we can take advantage of its presence to calculate the critical length. The notion of critical length was first introduced in [3] for null spaces of linear differential operator with constant coefficients. As a special case, the use of duality gives new insights into the practical expressions to obtain the critical length of such null spaces.
Fichier non déposé

Dates et versions

hal-00862643 , version 1 (17-09-2013)

Identifiants

  • HAL Id : hal-00862643 , version 1

Citer

Marie-Laurence Mazure. From Taylor interpolation to Hermite interpolation via duality. Jaén Journal on Approximation, 2012, 4 (1), pp.15-45. ⟨hal-00862643⟩
102 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More