On the rate of convergence of the Bézier-type operators
Bollettino dell'Unione Matematica Italiana (2006)
- Volume: 9-B, Issue: 3, page 657-666
- ISSN: 0392-4041
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topAnioł, Grażyna. "On the rate of convergence of the Bézier-type operators." Bollettino dell'Unione Matematica Italiana 9-B.3 (2006): 657-666. <http://eudml.org/doc/289630>.
@article{Anioł2006,
abstract = {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.},
author = {Anioł, Grażyna},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {657-666},
publisher = {Unione Matematica Italiana},
title = {On the rate of convergence of the Bézier-type operators},
url = {http://eudml.org/doc/289630},
volume = {9-B},
year = {2006},
}
TY - JOUR
AU - Anioł, Grażyna
TI - On the rate of convergence of the Bézier-type operators
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/10//
PB - Unione Matematica Italiana
VL - 9-B
IS - 3
SP - 657
EP - 666
AB - 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.
LA - eng
UR - http://eudml.org/doc/289630
ER -
References
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- PYCH-TABERSKA, P., On the rate of convergence of the Bézier type operators, Funct. Approximatio, Comment. Math., 28 (2000), 201-209. Zbl0979.41011
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