Certain family of Durrmeyer type operators
Annales UMCS, Mathematica (2009)
- Volume: 63, Issue: 1, page 109-115
- ISSN: 2083-7402
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topVijay Gupta. "Certain family of Durrmeyer type operators." Annales UMCS, Mathematica 63.1 (2009): 109-115. <http://eudml.org/doc/268093>.
@article{VijayGupta2009,
abstract = {The present paper is a continuation of the earlier work of the author. Here we study the rate of convergence of certain Durrmeyer type operators for function having derivatives of bounded variation.},
author = {Vijay Gupta},
journal = {Annales UMCS, Mathematica},
keywords = {Bernstein polynomials; Durrmeyer operators; bounded variation; total variation},
language = {eng},
number = {1},
pages = {109-115},
title = {Certain family of Durrmeyer type operators},
url = {http://eudml.org/doc/268093},
volume = {63},
year = {2009},
}
TY - JOUR
AU - Vijay Gupta
TI - Certain family of Durrmeyer type operators
JO - Annales UMCS, Mathematica
PY - 2009
VL - 63
IS - 1
SP - 109
EP - 115
AB - The present paper is a continuation of the earlier work of the author. Here we study the rate of convergence of certain Durrmeyer type operators for function having derivatives of bounded variation.
LA - eng
KW - Bernstein polynomials; Durrmeyer operators; bounded variation; total variation
UR - http://eudml.org/doc/268093
ER -
References
top- Derriennic, M.-M., Sur l'approximation de functions integrable sur [0; 1] par des polynomes de Bernstein modifies, J. Approx. Theory 31 (1981), 323-343.
- Durrmeyer, J. L., Une formule d'inversion de la Transformee de Laplace, Applications a la Theorie des Moments, These de 3e Cycle, Faculte des Sciences de l'Universite de Paris, 1967.
- Gupta, V., López-Moreno, A. J. and Latorre-Palacios, J.-M., On simultaneous approximation of the Bernstein Durrmeyer operators, Appl. Math. Comput. 213 (1) (2009), 112-120.[WoS] Zbl1175.41018
- Gupta, V., Maheshwari, P., Bézier variant of a new Durrmeyer type operators, Riv. Mat. Univ. Parma (6) 7 (2) (2003), 9-21. Zbl1050.41015
- Srivastava, H. M., Gupta, V., A certain family of summation-integral type operators, Math. Comput. Modelling 37 (2003), 1307-1315.[WoS] Zbl1058.41015
- Zeng, X. M., Chen, W., On the rate of convergence of the generalized Durrmeyer type operators for functions of bounded variation, J. Approx. Theory 102 (2000), 1-12. Zbl0956.41013
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