Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 3, page 783-799
- ISSN: 0011-4642
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topGonska, Heiner, and Păltănea, Radu. "Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions." Czechoslovak Mathematical Journal 60.3 (2010): 783-799. <http://eudml.org/doc/38041>.
@article{Gonska2010,
abstract = {We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given.},
author = {Gonska, Heiner, Păltănea, Radu},
journal = {Czechoslovak Mathematical Journal},
keywords = {positive linear operator; Bernstein-type operator; genuine Bernstein-Durrmeyer operator; simultaneous approximation; degree of approximation; moduli of continuity; positive linear operator; Bernstein-type operator; genuine Bernstein-Durrmeyer operator; simultaneous approximation; degree of approximation; moduli of continuity},
language = {eng},
number = {3},
pages = {783-799},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions},
url = {http://eudml.org/doc/38041},
volume = {60},
year = {2010},
}
TY - JOUR
AU - Gonska, Heiner
AU - Păltănea, Radu
TI - Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 3
SP - 783
EP - 799
AB - We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given.
LA - eng
KW - positive linear operator; Bernstein-type operator; genuine Bernstein-Durrmeyer operator; simultaneous approximation; degree of approximation; moduli of continuity; positive linear operator; Bernstein-type operator; genuine Bernstein-Durrmeyer operator; simultaneous approximation; degree of approximation; moduli of continuity
UR - http://eudml.org/doc/38041
ER -
References
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