On the asymptotic approximation with operators of Bleimann, Butzer and Hahn

Indagationes Mathematicae

Volumn 7, Issue 1, 1996, Pages 1-9

  Abel, Ulrich ^a  

^a TECHNISCHE HOCHSCHULE MITTELHESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030600810     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/0019-3577(96)88653-8     Document Type: Article

References (11)

1. 1. Abel, U. - The moments for the Meyer-König and Zeller operators. J. Approx. Theory 82, 352-361 (1995).
2. 2. Abel, U. - The complete asymptotic expansion for the Meyer-König and Zeller operators. Submitted.
3. 3. Bleimann, G., P.L. Butzer and L. Hahn - A Bernstein-type operator approximating continuous functions on the semi-axis. Indag. Math. 42, 255-262 (1980).
4. 4. Cal, J. de la and F. Luquin - A note on limiting properties of some Bernstein-type operators. J. Approx. Theory 68, 322-329 (1992).
5. 5. Jordan, C. - Calculus of finite differences. Chelsea, New York (1965).
6. 6. Kelisky, R.P. and T.J. Rivlin - Iterates of Bernstein polynomials. Pacific J. Math., 511-520 (1967).
7. 7. Khan, R.A. - A note on a Bernstein-type operator of Bleimann, Butzer and Hahn. J. Approx. Theory 53, 295-303 (1988).
8. 8. Lorentz, G.G. - Bernstein polynomials. University of Toronto Press, Toronto (1953).
9. 9. Mercer, A. Mod. - A Bernstein-type operator approximating continuous functions on the half-line. Bull. Calcutta Math. Soc. 31, 133-137 (1989).
10. 10. Reif, B. - Asymptotische Approximation durch die Operatoren von Meyer-König und Zeller. Diplomarbeit, Fachhochschule Giessen-Friedberg (1994).
11. 11. Riordan, J. - Moment recurrence relations for binomial, Poisson and hypergeometric frequency distributions. Annals of Math. Statistics 8, 103-111 (1937).