Geodesic
Bernstein-type operators on the half line
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 4, pp. 851-860

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

We define Bernstein-type operators on the half line $\mathopen [0,+\infty \mathclose [$ by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.
Classification : 41A10, 41A35, 41A36
Keywords: Bernstein-Chlodovsky operators; approximation process; Voronovskaja-type formula 
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     author = {Attalienti, Antonio and Campiti, Michele},
     title = {Bernstein-type operators on the half line},
     journal = {Czechoslovak Mathematical Journal},
     pages = {851--860},
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     volume = {52},
     number = {4},
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     zbl = {1015.41014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2002__52_4_a15/}
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Attalienti, Antonio; Campiti, Michele. Bernstein-type operators on the half line. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 4, pp. 851-860. http://geodesic.mathdoc.fr/item/CMJ_2002__52_4_a15/