Geodesic
On the eigenstructure of the Bernstein kernel
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 431-438.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Itai, Uri},
     title = {On the eigenstructure of the {Bernstein} kernel},
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     year = {2006},
     language = {en},
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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/