A Kantorovich variant of a new type Bernstein-Stancu polynomials

被引：23
作者：
Icoz, Gurhan [1 ]
机构：
[1] Gazi Univ, Dept Math, Ankara, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期
关键词：
Bernstein polynomials; Bernstein-Stancu type polynomials; Kantorovich-type generalization; Rate of convergence; POSITIVE OPERATORS;
D O I：
10.1016/j.amc.2012.02.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new generalization of Bernstein-Stancu Kantorovich type polynomials are constructed and the theorems on convergence and the degree of convergence are established. In addition r-th generalization is given. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：8552 / 8560
页数：9
相关论文
共 19 条
[1]  
Altomare F., 1994, Korovkin-Type Approximation Theory and Its Applications, V17, P266
[2]  
[Anonymous], 2004, DEMONSTR MATH
[3]  
Barbosu D., 2004, CARPATHIAN J MATH, V20, P1
[4]  
Barbosu D., 2004, J. Inequal. Pure Appl. Math, V5, P53
[5]  
Bernstein S., 1912, Comm. Soc. Math. Kharkov, V13, P1
[6]  
BLEIMANN G, 1980, NEDERL AKAD WETENSCH, V42, P255
[7]   On positive operators involving a certain class of generating functions [J].
Dogru, O ;
Özarslan, MA ;
Tasdelen, F .
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2004, 41 (04) :415-429
[8]  
Dogru O., 1998, Math. Balkanika, V12, P359
[9]   Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables [J].
Gadjiev, A. D. ;
Ghorbanalizadeh, A. M. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (03) :890-901
[10]  
Kantorovich L. V., 1930, C. R. Acad. Sci. USSR, V20, P595
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