On the rate of convergence of the Bézier-type operators
Anioł, Grażyna
Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006), p. 657-666 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Per le funzioni limitate f su un intervallo I, in particolare, per le funzioni con potenza p-sima a variazione limitata su I è stimato il rango di convergenza puntuale della modificazione di tipo Bezier degli operatori discreti di Feller. Nel teorema principale è stato usato il modulo di variazione di Chanturiya.

Publié le : 2006-10-01
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     author = {Gra\.zyna Anio\l },
     title = {On the rate of convergence of the B\'ezier-type operators},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {9-A},
     year = {2006},
     pages = {657-666},
     zbl = {1182.41019},
     mrnumber = {2274118},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2006_8_9B_3_657_0}
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Anioł, Grażyna. On the rate of convergence of the Bézier-type operators. Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006) pp. 657-666. http://gdmltest.u-ga.fr/item/BUMI_2006_8_9B_3_657_0/

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