On convergence of a kind of complex nonlinear Bernstein operators

被引：0
|
作者：
Karsli, Harun [1 ]
Unal, Esra [1 ]
机构：
[1] Abant Izzet Baysal Univ, Fac Sci & Arts, Dept Math, TR-14280 Golkoy Bolu, Turkey
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2015年 / 60卷 / 02期
关键词：
Nonlinear Bernstein operators; Lipschitz condition; Voronovskaja-type result; compact disks;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present article deals with the approximation properties and Voronovskaja type results with quantitative estimates for a certain class of complex nonlinear Bernstein operators (NB(n)f) of the form (NB(n)f)(z) = Sigma(n)(k=0) p(k,n)(z)G(n) (f (k/n)), vertical bar z vertical bar <= 1 attached to analytic functions on compact disks.
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页码：259 / 265
页数：7
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