| Title:
|
Bernstein-Durrmeyer type operators (English) |
| Author:
|
Walczak, Zbigniew |
| Language:
|
English |
| Journal:
|
Acta Mathematica Universitatis Ostraviensis |
| ISSN:
|
1214-8148 |
| Volume:
|
12 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
65-72 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A35 |
| idZBL:
|
Zbl 1114.41012 |
| idMR:
|
MR2214675 |
| . |
| Date available:
|
2009-01-30T09:11:20Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120606 |
| . |
| Reference:
|
[1] S. N. Bernstein: Demonstration du théoreme de Weierstrass fondée sur la calcul des probabilités.Comm. Soc. Math. Charkow Ser. 2 13 (1912), 1-2. |
| Reference:
|
[2] S. N. Bernstein: Complément a l'article de E. Voronowskaja.Dokl. Akad. Nauk USSR 4 (1932), 86-92. |
| Reference:
|
[3] M. M. Derriennic: Sur l'approximation de fonctions integrable sur [0,1] par des polynomes de Bernstein modifiés.J. Approx. Theory 31 (1981), 325-343. MR 0628516, 10.1016/0021-9045(81)90101-5 |
| Reference:
|
[4] R. A. De Vore G. G. Lorentz: Constructive Approximation.Springer-Verlag, Berlin, 1993. MR 1261635 |
| Reference:
|
[5] Z. Ditzian K. G. Ivanov: Bernstein-type operators and their derivatives.J. Approx. Theory, 56 (1989), 72-90. MR 0977875, 10.1016/0021-9045(89)90134-2 |
| Reference:
|
[6] J. L. Durrmeyer: Une formule d'inversion de la transformée de Laplace: Applications a la théorie des moments.These de 3e cycle, Faculte des Sciences de l'Universite de Paris, 1967. |
| Reference:
|
[7] A. Il'inskii S. Ostrovska: Convergence of generalized Bernstein polynomials.J. Approx. Theory 116 (2002), 100-112. MR 1909014, 10.1006/jath.2001.3657 |
| Reference:
|
[8] G. H. Kirov: A generalization of the Bernstein polynomials.Math. Balkanica 6(2) (1992), 147-153. Zbl 0838.41017, MR 1182946 |
| Reference:
|
[9] G. G. Lorentz: Bernstein Polynomials.Chelsea, New York, 1986. Zbl 0989.41504, MR 0864976 |
| Reference:
|
[10] V. Videnskii: Bernstein Polynomials.Leningrad State Pedagogical University, Leningrad, 1990. [in Russian] |
| Reference:
|
[11] V. Videnskii: New Topics Concerning Approximation by Positive Linear Operators.in: Open Problems in Approximation Theory, 1993, Bulgaria, pp. 205-212. Editor Borislav Bojanov. |
| . |
