Construction of a new family of Bernstein-Kantorovich operators

被引：156

作者：

Mohiuddine, S. A. ^{[1
]}

Acar, Tuncer ^{[2
]}

Alotaibi, Abdullah ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[2] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 18期

关键词：

Bernstein-Kantorovich operators; bivariate Bernstein-Kantorovich operators; modulus of continuity; rate of convergence; APPROXIMATION; SEQUENCES;

D O I：

10.1002/mma.4559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we construct a new sequence of Bernstein-Kantorovich operators depending on a parameter alpha. The uniform convergence of the operators and rate of convergence in local and global sense in terms of first- and second-order modulus of continuity are studied. Some graphs and numerical results presenting the advantages of our construction are obtained. The last section is devoted to bivariate generalization of Bernstein-Kantorovich operators and their approximation behaviors.

引用

页码：7749 / 7759

页数：11

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