On the Rates of Approximation of Bernstein Type Operators

Journal of Approximation Theory

Volumn 109, Issue 2, 2001, Pages 242-256

  Zeng, Xiao Ming ^a   Cheng, Fuhua ^b  

^a XIAMEN UNIVERSITY   (China)

^b UNIVERSITY OF KENTUCKY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345978412     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.2000.3538     Document Type: Article

References (9)

1. Cheng F. On the rate of convergence of Bernstein polynomials of functions of bounded variation. J. Approx. Theory. 39:1983;259-274.
2. Bojanic R., Cheng F. Rate of convergence of Bernstein polynomials for functions with derivative of bounded variation. J. Math. Anal. Appl. 141:1989;136-151.
3. Guo S., Khan M. On the rate of convergence of some operators on functions of bounded variation. J. Approx. Theory. 58:1989;90-101.
4. Zeng X. M., Piriou A. On the rate of convergence of two Bernstein-Bézier type operators for functions of bounded variation. J. Approx. Theory. 95:1998;369-387.
5. Feller W. An Introduction to Probability Theory and Its Applications. 1971;Wiley, New York.
6. Bojanic R., Khan M. Rate of convergence of some operators of functions with derivatives of bounded variation. Atti Sem Mat. Fis. Univ. Modena. 39:1991;495-512.
7. Lorentz G. G. Bernstein Polynomials. 1953;Univ. of Toronto Press, Toronto.
8. Cheng F. On the rate of convergence of Szász-Mirakyan operator for functions of bounded variation. J. Approx. Theory. 40:1984;226-241.
9. Zeng X. M. On the rate of convergence of the generalized Szász type operators for functions of bounded variation. J. Math. Anal. Appl. 226:1998;309-325.