Iterates of Bernstein operators, via contraction principle

Journal of Mathematical Analysis and Applications

Volumn 292, Issue 1, 2004, Pages 259-261

  Rus, Ioan A ^a  

^a BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842450377     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.11.056     Document Type: Article

References (6)

1. J.A. Adell, F.G. Badia, J. de la Cal, On the iterates on some Bernstein-type operators, J. Math. Anal. Appl. 209 (1997) 529-541.
2. O. Agratini, Aproximare Prin Operatori Liniari, Presa Universitarǎ Clujeanǎ, Cluj-Napoca, 2000.
3. S. Karlin, Z. Ziegler, Iteration of positive approximation operators, J. Approx. Theory 3 (1970) 310-339.
4. R.P. Kelisky, T.J. Rivlin, Iterates of Bernstein polynomials, Pacific J. Math. 21 (1967) 511-520.
5. I.A. Rus, Generalized Contractions and Applications, Cluj Univ. Press, Cluj-Napoca, 2001.
6. E. Zeidler, Nonlinear Functional Analysis and Its Applications, I, Springer-Verlag, Berlin, 1993.