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.
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页数：15
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