Geodesic
On the eigenstructure of the Bernstein kernel
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 431-438
In approximation theory a common technique is to assume duality behavior between the Bernstein operator and the transformation matrix between the standard basis and the Bernstein basis. In this paper we shall produce an example that this assumption is not always correct. In particular, the eigenstructures of the operator and the transformation Matrix are distinguished.
Classification : 42C15, 42C30
Keywords: eigenstructure, Bernstein operator, Bernstein polynomial basis 
@article{ETNA_2006__25__a6,
     author = {Itai,  Uri},
     title = {On the eigenstructure of the {Bernstein} kernel},
     journal = {Electronic transactions on numerical analysis},
     pages = {431--438},
     year = {2006},
     volume = {25},
     zbl = {1160.42317},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a6/}
}
TY  - JOUR
AU  - Itai,  Uri
TI  - On the eigenstructure of the Bernstein kernel
JO  - Electronic transactions on numerical analysis
PY  - 2006
SP  - 431
EP  - 438
VL  - 25
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__25__a6/
LA  - en
ID  - ETNA_2006__25__a6
ER  - 
%0 Journal Article
%A Itai,  Uri
%T On the eigenstructure of the Bernstein kernel
%J Electronic transactions on numerical analysis
%D 2006
%P 431-438
%V 25
%U http://geodesic.mathdoc.fr/item/ETNA_2006__25__a6/
%G en
%F ETNA_2006__25__a6
Itai,  Uri. On the eigenstructure of the Bernstein kernel. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 431-438. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a6/