Geodesic
Rate of approximation for the Bézier variant of Balazs-Kantorovich operators
Mathematica slovaca, Tome 57 (2007) no. 4, pp. 349-358
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 41A36 
@article{MASLO_2007_57_4_a5,
     author = {Gupta, Vijay and Zeng, X. M.},
     title = {Rate of approximation for the {B\'ezier} variant of {Balazs-Kantorovich} operators},
     journal = {Mathematica slovaca},
     pages = {349--358},
     year = {2007},
     volume = {57},
     number = {4},
     mrnumber = {2357831},
     zbl = {1150.41014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2007_57_4_a5/}
}
TY  - JOUR
AU  - Gupta, Vijay
AU  - Zeng, X. M.
TI  - Rate of approximation for the Bézier variant of Balazs-Kantorovich operators
JO  - Mathematica slovaca
PY  - 2007
SP  - 349
EP  - 358
VL  - 57
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_2007_57_4_a5/
LA  - en
ID  - MASLO_2007_57_4_a5
ER  - 
%0 Journal Article
%A Gupta, Vijay
%A Zeng, X. M.
%T Rate of approximation for the Bézier variant of Balazs-Kantorovich operators
%J Mathematica slovaca
%D 2007
%P 349-358
%V 57
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_2007_57_4_a5/
%G en
%F MASLO_2007_57_4_a5
Gupta, Vijay; Zeng, X. M. Rate of approximation for the Bézier variant of Balazs-Kantorovich operators. Mathematica slovaca, Tome 57 (2007) no. 4, pp. 349-358. http://geodesic.mathdoc.fr/item/MASLO_2007_57_4_a5/

[1] AGRATINI O.: An approximation process of Kantorovich type. Math. Notes Miskolac 2 (2001), 3-10. | MR | Zbl

[2] BALAZS K.: Approximation by Bernstein type rational functions. Acta Math. Acad. Sci. Hungar. 26 (1975), 123-134. | MR | Zbl

[3] BALAZS C.-SZABADOS J.: Approximation by Bernstein type rational functions II. Acta Math. Acad. Sci. Hungar. 40 (1982), 331-337. | MR | Zbl

[4] GUPTA V.: Rate of convergence of Durrmeyer type Baskakov-Bezier operators for locally bounded functions. Turkish J. Math. 28 (2004), 271-280. | MR | Zbl

[5] GUPTA V.: Rate of convergence by the Bezier variant of Phillips operators for bounded variation functions. Taiwanese J. Math. 8 (2004), 183-190. | MR

[6] GUPTA V.: The Bezier variant of Kantorovitch operators. Comput. Math. Appl. 47 (2004), 227-232. | MR | Zbl

[7] GUPTA V.: Degree of approximation to function of bounded variation by Bézier variant of MKZ operators. J. Math. Anal. Appl. 289 (2004), 292-300. | MR | Zbl

[8] GUPTA V.-ABEL U.: Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the Baskakov operators. Int. J. Math. Math. Sci. 2004 (2004), 459-468. | MR | Zbl

[9] GUPTA V.-MAHESHWARI, R: Bezier variant of a new Durrmeyer type operators. Riv. Mat. Univ. Parma 7 (2003), 9-21. | MR | Zbl

[10] GUPTA V.-VASISHTHA V.-GUPTA M. K.: An estimate on the rate of convergence of Bezier type summation-integral operators. Kуungpook Math. J. 43 (2003), 345-354. | MR | Zbl

[11] ZENG X. M.: Bounds for Bernstein basis functions and Meyer-Konig and Zeller basis functions. J. Math. Anal. Appl. 219 (1998), 364-376. | MR

[12] ZENG X. M.-PIRIOU A.: On the rate of convergence of two Bernstein-Bezier type operators for functions of bounded variation. J. Approx. Theory 95 (1998), 369-387. | MR