Asymptotic Properties of Bernstein-Durrmeyer Operators

被引：1
|
作者：
Xu, Xiao-Wei [1 ]
Zeng, Xiao-Ming [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2016年 / 69卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
Bernstein-Durrmeyer operators; Szasz-Durrmeyer operator; Operator semigroups; Rates of convergence; Asymptotic expansion; APPROXIMATION; SEMIGROUPS; SZASZ;
D O I：
10.1007/s00025-015-0482-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is known that Szasz-Durrmeyer operator is the limit, in an appropriate sense, of Bernstein-Durrmeyer operators. In this paper, we adopt a new technique that comes from the representation of operator semigroups to study the approximation issue as mentioned above. We provide some new results on approximating Szasz-Durrmeyer operator by Bernstein-Durrmeyer operators. Our results improve the corresponding results of Adell and De La Cal (Comput Math Appl 30:1-14, 1995).
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页码：345 / 357
页数：13
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