Geodesic
On positivity properties of fundamental cardinal polysplines
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006), p. 101

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Polysplines on strips of order $p$ are natural generalizations of univariate splines. In [3] and [4] interpolation results for cardinal polysplines on strips have been proven. In this paper the following problems will be addressed: (i) positivity of the fundamental polyspline on the strip $\left[ -1,1\right] \times {\Bbb R}^{n}$, and (ii) uniqueness of interpolation for polynomially bounded cardinal polysplines.
DOI : 10.2298/BMAT0631101R
Classification : 41A82
Keywords: Cardinal splines, L-splines, fundamental spline, polyharmonic functions, polysplines 
@article{10_2298_BMAT0631101R,
     author = {H. Render},
     title = {On positivity properties of fundamental cardinal polysplines},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {101 },
     publisher = {mathdoc},
     volume = {31},
     year = {2006},
     doi = {10.2298/BMAT0631101R},
     zbl = {1119.41008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/BMAT0631101R/}
}
TY  - JOUR
AU  - H. Render
TI  - On positivity properties of fundamental cardinal polysplines
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2006
SP  - 101 
VL  - 31
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/BMAT0631101R/
DO  - 10.2298/BMAT0631101R
LA  - en
ID  - 10_2298_BMAT0631101R
ER  - 
%0 Journal Article
%A H. Render
%T On positivity properties of fundamental cardinal polysplines
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2006
%P 101 
%V 31
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/BMAT0631101R/
%R 10.2298/BMAT0631101R
%G en
%F 10_2298_BMAT0631101R
H. Render. On positivity properties of fundamental cardinal polysplines. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006), p. 101 . doi: 10.2298/BMAT0631101R

Cité par Sources :