T f -splines et approximation par T f -prolongement

N. Benbourhim; J. Gaches

Studia Mathematica (1993)

  • Volume: 106, Issue: 3, page 203-211
  • ISSN: 0039-3223

Abstract

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We study T f -splines (existence, uniqueness and convergence) in Banach spaces with a view to applications in approximation. Our approach allows, in particular, considering some problems in a more regular domain, and hence facilitating their solution.

How to cite

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Benbourhim, N., and Gaches, J.. "$T_{f}$-splines et approximation par $T_{f}$ -prolongement." Studia Mathematica 106.3 (1993): 203-211. <http://eudml.org/doc/216014>.

@article{Benbourhim1993,
author = {Benbourhim, N., Gaches, J.},
journal = {Studia Mathematica},
language = {fre},
number = {3},
pages = {203-211},
title = {$T_\{f\}$-splines et approximation par $T_\{f\}$ -prolongement},
url = {http://eudml.org/doc/216014},
volume = {106},
year = {1993},
}

TY - JOUR
AU - Benbourhim, N.
AU - Gaches, J.
TI - $T_{f}$-splines et approximation par $T_{f}$ -prolongement
JO - Studia Mathematica
PY - 1993
VL - 106
IS - 3
SP - 203
EP - 211
LA - fre
UR - http://eudml.org/doc/216014
ER -

References

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  1. [1] M. Attéia, Convergence interne et externe des fonctions spline d'interpolation, Séminaire d'Analyse Numérique de Toulouse, 1975. 
  2. [2] P. G. Ciarlet, Élasticité tridimensionnelle, Masson, Paris 1986. 
  3. [3] J. Deny et J. L. Lions, Les espaces du type de Beppo Levi, Ann. Inst. Fourier 5 (1954), 305-370. Zbl0065.09903
  4. [4] J. Duchon, Splines minimizing rotation-invariant semi-norms in Sobolev spaces, in: Lecture Notes in Math. 571, Springer, 1977, 85-100. 
  5. [5] I. Ekeland et R. Temam, Analyse convexe et problèmes variationnels, Dunod, Paris 1974. 
  6. [6] P. J. Laurentet Pham-Dinh-Tuan, Global approximation of a compact set by elements of a convex set in a normed space, Numer. Math. 15 (1970), 137-150. 
  7. [7] J. Nečas, Les méthodes directes en théorie des équations elliptiques, Hermann, Paris 1972. 
  8. [8] D. V. Pai, On nonlinear minimization problems and Lf-splines, I, J. Approx. Theory 39 (1983), 228-235. Zbl0541.41038

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