Approximation by the Iterates of Bernstein Operator

被引：0
|
作者：
Zapryanova, Teodora [1 ]
Tachev, Gancho [2 ]
机构：
[1] Econ Univ, Dept Math Sci, Bul Knyaz Boris I 77, Varna 9002, Bulgaria
[2] Univ Architecture, Dept Math, Sofia 1046, Bulgaria
来源：
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12) | 2012年 / 1497卷
关键词：
Bernstein iterates; moduli of continuity (smoothness); degree of convergence; LINEAR-COMBINATIONS; CONVERGENCE; POLYNOMIALS; LIMITS;
D O I：
10.1063/1.4766784
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the degree of pointwise approximation of the iterated Bernstein operators to its limiting operator. We obtain a quantitative estimates related to the conjecture of Gonska and Rasa from 2006.
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页码：184 / 189
页数：6
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