On the Rate of Convergence of the Generalized Szász Type Operators for Functions of Bounded Variation

Journal of Mathematical Analysis and Applications

Volumn 226, Issue 2, 1998, Pages 309-325

  Zeng, Xiao Ming ^a  

^a XIAMEN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011903288     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6063     Document Type: Article

References (10)

1. Bojanic R., Vuillemier M. On the rate of convergence of Fourier-Legendre series of functions of bounded variation. J. Approx. Theory. 31:1981;67-79.
2. Cheng F. On the rate of convergence of the Szász-Mirakyan operator for functions of bounded variation. J. Approx. Theory. 40:1984;226-241.
3. Guo S., Khan M. K. On the rate of convergence of some operators on functions of bounded variation. J. Approx. Theory. 58:1989;90-101.
4. Chang G. Generalized Bernstein-Bézier polynomials. J. Comput. Math. 4:1983;322-327.
5. Szász O. Generalization of S. Bernstein's polynomials to the infinite interval. J. Res. Nat. Bur. Standards Sect. B. 45:1950;239-245.
6. Loève M. Probability Theorem I. 1977;Springer-Verlag, New York/Berlin.
7. Shiryayev A. N. Probability. 1984;Springer-Verlag, New York.
8. Piriou A., Zeng X. M. On the rate of convergence of the Bernstein-Bézier operators. C. R. Acad. Sci. Paris Sér. I. 1995;575-580.
9. Bojanic R., Cheng F. Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation. J. Math. Anal. Appl. 141:1989;136-151.
10. X. M. Zeng, A. Piriou, On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions.