A Voronovskaja-Type Theorem for a Kind of Durrmeyer-Bernstein-Stancu Operators

被引:5
作者
Kantar, Ulku Dinlemez [1 ]
Ergelen, Gizem [2 ]
机构
[1] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkey
[2] Yukselen Coll, Mamak Campus, TR-06480 Ankara, Turkey
来源
GAZI UNIVERSITY JOURNAL OF SCIENCE | 2019年 / 32卷 / 04期
关键词
Durrmeyer type operators; Bernstein-Stancu type operators; Voronovskaja-type theorem; APPROXIMATION;
D O I
10.35378/gujs.513478
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we study on a Durrmeyer variant of Bernstein-Stancu operators. We give a Voronovskaja-type theorem for these type operators.
引用
收藏
页码:1228 / 1236
页数:9
相关论文
共 11 条
[1]   ON APPROXIMATION PROPERTIES OF A NEW TYPE OF BERNSTEIN-DURRMEYER OPERATORS [J].
Acar, Tuncer ;
Aral, Ali ;
Gupta, Vijay .
MATHEMATICA SLOVACA, 2015, 65 (05) :1107-1122
[2]  
[Anonymous], 1967, THESIS
[3]  
Ba~scanbaz-Tunca G., 2012, FASCI MATH, V48, P119
[4]  
Bernstein S.N., 1913, Comm. Soc. Math. Kharkow, V13, P1
[5]   Pointwise approximation by a Durrmeyer variant of Bernstein-Stancu operators [J].
Dong, Lvxiu ;
Yu, Dansheng .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[6]   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
[7]   THEOREMS OF KOROVKIN TYPE [J].
GADZHIEV, AD .
MATHEMATICAL NOTES, 1976, 20 (5-6) :995-998
[8]  
Gupta V, 2010, MAT VESTN, V62, P259
[9]   A Kantorovich variant of a new type Bernstein-Stancu polynomials [J].
Icoz, Gurhan .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) :8552-8560
[10]  
Stancu D. D., 1968, Rev. Roumaine Math. Pures Appl, V13, P1173