Approximation by Complex Bernstein-Stancu Polynomials in Compact Disks

被引:18
作者
Gal, Sorin G. [1 ]
机构
[1] Univ Oradea, Dept Math & Comp Sci, Oradea 410087, Romania
关键词
Complex Bernstein-Stancu polynomials; simultaneous approximation; Voronovskaja-type result; iterates;
D O I
10.1007/s00025-008-0335-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the order of simultaneous approximation, a Voronovskaja kind result with quantitative estimate and convergence results of the iterates, for complex Bernstein-Stancu polynomials (depending on two parameters) attached to analytic functions on compact disks are obtained.
引用
收藏
页码:245 / 256
页数:12
相关论文
共 7 条
[1]  
GAL SG, 2008, PRESERVING APPROXIMA
[2]   Voronovskaja's Theorem and Iterations for Complex Bernstein Polynomials in Compact Disks [J].
Gal, Sorin G. .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2008, 5 (03) :253-272
[3]  
Gonska H., 2006, J APPL FUNCT ANAL, V1, P403
[4]  
Gonska H., 2006, P INT C NUM AN APPR, P55
[5]   Over-iterates of Bernstein-Stancu operators [J].
Gonska, Heiner ;
Pitul, Paula ;
Rasa, Ioan .
CALCOLO, 2007, 44 (02) :117-125
[6]  
Lorentz GG., 1986, Bernstein polynomials, V2
[7]  
Stancu D.D., 1969, Stud. Univ. Babes-Bolyai Ser. Math.-Phys., V14, P31