Approximation by quaternion (p, q)-Bernstein polynomials and Voronovskaja type result on

被引：0

作者：

Bin Jebreen, Haifa ^{[1
]}

Mursaleen, Mohammad ^{[2
]}

Naaz, Ambreen ^{[2
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, Riyadh, Saudi Arabia

[2] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

Quaternion; (p; q)-Bernstein-polynomials; Order of approximation; Analytic functions; Voronovskaja type results; Compact disk; Q-BERNSTEIN POLYNOMIALS; CONVERGENCE; OPERATORS;

D O I：

10.1186/s13662-018-1906-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define the Bernstein polynomials of degree m of a quaternion variable. We obtain some approximation results, and also the Voronovskaja type result with quantitative upper estimates is proved.

引用

页数：15

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