Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case α < 1
Xiao-Ming Zeng ; Vijay Gupta
Open Mathematics, Tome 7 (2009), p. 550-557 / Harvested from The Polish Digital Mathematics Library
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The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators M^n,α(f,x) for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators M^n,α(f,x) for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators M^n,α(f,x) for the case 0 < α < 1. In the end we propose the q-analogue of MKZK operators.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:269620 
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     author = {Xiao-Ming Zeng and Vijay Gupta},
     title = {Approximation by the B\'ezier variant of the MKZ-Kantorovich operators in the case $\alpha$ < 1},
     journal = {Open Mathematics},
     volume = {7},
     year = {2009},
     pages = {550-557},
     zbl = {1181.41032},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0031-6}
}

Xiao-Ming Zeng; Vijay Gupta. Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case α < 1. Open Mathematics, Tome 7 (2009) pp. 550-557. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0031-6/

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