On the rate of convergence of the Bézier-type operators
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 657-666
Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica
For bounded functions $f$ on an interval $I$, in particular, for functions of bounded p-th power variation on $I$ there is estimated the rate of pointwise convergence of the Bezier-type modification of the discrete Feller operators. In the main theorem the Chanturiya modulus of variation is used.
@article{BUMI_2006_8_9B_3_a8,
author = {Anio{\l}, Gra\.zyna},
title = {On the rate of convergence of the {B\'ezier-type} operators},
journal = {Bollettino della Unione matematica italiana},
pages = {657--666},
year = {2006},
volume = {Ser. 8, 9B},
number = {3},
zbl = {1182.41019},
mrnumber = {2274118},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a8/}
}
Anioł, Grażyna. On the rate of convergence of the Bézier-type operators. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 657-666. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a8/