A GENERALIZATION OF THE BERNSTEIN POLYNOMIALS

Authors
CAO JD
Citation
Jd. Cao, A GENERALIZATION OF THE BERNSTEIN POLYNOMIALS, Journal of mathematical analysis and applications, 209(1), 1997, pp. 140-146
Citations number
6
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
209
Issue
1
Year of publication
1997
Pages
140 - 146
Database
ISI
SICI code
0022-247X(1997)209:1<140:AGOTBP>2.0.ZU;2-K
Abstract
We give an interesting generalization of the Bernstein polynomials. We find sufficient and necessary conditions for uniform convergence by t he new polynomials, and we generalize the Bernstein theorem. (C) 1997 Academic Press.