Authors
Citation
M. Campiti et G. Metafune, APPROXIMATION PROPERTIES OF RECURSIVELY DEFINED BERNSTEIN-TYPE OPERATORS, Journal of approximation theory, 87(3), 1996, pp. 243-269
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00219045
Volume
87
Issue
3
Year of publication
1996
Pages
243 - 269
Database
ISI
SICI code
0021-9045(1996)87:3<243:APORDB>2.0.ZU;2-7
Abstract
We consider a generalization of classical Bernstein operators obtained
by replacing the binomial coefficients with general ones satisfying a
suitable recursive relation. We study the uniform convergence of thes
e operators together with some quantitative estimates and regularity p
roperties. Finally, in some particular cases, we investigate the behav
ior of the iterates. (C) 1996 Academic Press, Inc.