Bernstein-Durrmeyer type operators

Zbigniew Walczak

Acta Mathematica Universitatis Ostraviensis (2004)

  • Volume: 12, Issue: 1, page 65-72
  • ISSN: 1804-1388

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Walczak, Zbigniew. "Bernstein-Durrmeyer type operators." Acta Mathematica Universitatis Ostraviensis 12.1 (2004): 65-72. <http://eudml.org/doc/23885>.

@article{Walczak2004,
author = {Walczak, Zbigniew},
journal = {Acta Mathematica Universitatis Ostraviensis},
language = {eng},
number = {1},
pages = {65-72},
publisher = {University of Ostrava},
title = {Bernstein-Durrmeyer type operators},
url = {http://eudml.org/doc/23885},
volume = {12},
year = {2004},
}

TY - JOUR
AU - Walczak, Zbigniew
TI - Bernstein-Durrmeyer type operators
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2004
PB - University of Ostrava
VL - 12
IS - 1
SP - 65
EP - 72
LA - eng
UR - http://eudml.org/doc/23885
ER -

References

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  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. (1912) 
  2. S. N. Bernstein, Complément a l'article de E. Voronowskaja, Dokl. Akad. Nauk USSR 4 (1932), 86-92. (1932) 
  3. M. M. Derriennic, 10.1016/0021-9045(81)90101-5, J. Approx. Theory 31 (1981), 325-343. (1981) MR0628516DOI10.1016/0021-9045(81)90101-5
  4. R. A. De Vore G. G. Lorentz, Constructive Approximation, Springer-Verlag, Berlin, 1993. (1993) MR1261635
  5. Z. Ditzian K. G. Ivanov, 10.1016/0021-9045(89)90134-2, J. Approx. Theory, 56 (1989), 72-90. (1989) MR0977875DOI10.1016/0021-9045(89)90134-2
  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. (1967) 
  7. A. Il'inskii S. Ostrovska, 10.1006/jath.2001.3657, J. Approx. Theory 116 (2002), 100-112. MR1909014DOI10.1006/jath.2001.3657
  8. G. H. Kirov, A generalization of the Bernstein polynomials, Math. Balkanica 6(2) (1992), 147-153. (1992) Zbl0838.41017MR1182946
  9. G. G. Lorentz, Bernstein Polynomials, Chelsea, New York, 1986. (1986) Zbl0989.41504MR0864976
  10. V. Videnskii, Bernstein Polynomials, Leningrad State Pedagogical University, Leningrad, 1990. [in Russian] (1990) 
  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. (1993) 

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