Geodesic
Lagrange approximation in Banach spaces
Czechoslovak Mathematical Journal, Tome 65 (2015) no. 1, pp. 281-288.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Starting from Lagrange interpolation of the exponential function ${\rm e}^z$ in the complex plane, and using an integral representation formula for holomorphic functions on Banach spaces, we obtain Lagrange interpolating polynomials for representable functions defined on a Banach space $E$. Given such a representable entire funtion $f\colon E \to \mathbb C$, in order to study the approximation problem and the uniform convergence of these polynomials to $f$ on bounded sets of $E$, we present a sufficient growth condition on the interpolating sequence.
DOI : 10.1007/s10587-015-0174-5
Classification : 30E10, 30E20, 46G20
Keywords: Lagrange interpolation; Lagrange approximation; Kergin interpolation; Kergin approximation; Banach space 
@article{10_1007_s10587_015_0174_5,
     author = {Nilsson, Lisa and Pinasco, Dami\'an and Zalduendo, Ignacio},
     title = {Lagrange approximation in {Banach} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {281--288},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2015},
     doi = {10.1007/s10587-015-0174-5},
     mrnumber = {3336039},
     zbl = {06433735},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0174-5/}
}
TY  - JOUR
AU  - Nilsson, Lisa
AU  - Pinasco, Damián
AU  - Zalduendo, Ignacio
TI  - Lagrange approximation in Banach spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2015
SP  - 281
EP  - 288
VL  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0174-5/
DO  - 10.1007/s10587-015-0174-5
LA  - en
ID  - 10_1007_s10587_015_0174_5
ER  - 
%0 Journal Article
%A Nilsson, Lisa
%A Pinasco, Damián
%A Zalduendo, Ignacio
%T Lagrange approximation in Banach spaces
%J Czechoslovak Mathematical Journal
%D 2015
%P 281-288
%V 65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0174-5/
%R 10.1007/s10587-015-0174-5
%G en
%F 10_1007_s10587_015_0174_5
Nilsson, Lisa; Pinasco, Damián; Zalduendo, Ignacio. Lagrange approximation in Banach spaces. Czechoslovak Mathematical Journal, Tome 65 (2015) no. 1, pp. 281-288. doi : 10.1007/s10587-015-0174-5. http://geodesic.mathdoc.fr/articles/10.1007/s10587-015-0174-5/

Cité par Sources :