| Bernstein型算子高阶逼近的特征刻划 |
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| 引用本文： | 顾志刚,王建军.Bernstein型算子高阶逼近的特征刻划[J].贵州师范大学学报(自然科学版),2011,29(4):58-61. |
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| 作者姓名： | 顾志刚 王建军 |
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| 作者单位： | 西南大学数学与统计学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金青年项目(No.11001227); 重庆市自然科学基金资助(No.CSTC,2009BB2306); 中央高校基本科研业务费专项资助(No.XD.JK2010B005) |
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| 摘 要： | 对于Bemstein型算子，利用K-泛函研究其任意阶逼近的正逆定理，给出了高阶逼近特征的等价刻划。
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| 关 键 词： | Bernstein算子 高阶逼近 K-泛函 Ditzian—Totik模 |
On Characterlization of high order approximation of Bernstein type operators |
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| GU Zhi-gang,WANG Jian-jun.On Characterlization of high order approximation of Bernstein type operators[J].Journal of Guizhou Normal University(Natural Sciences),2011,29(4):58-61. |
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| Authors: | GU Zhi-gang WANG Jian-jun |
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| Institution: | GU Zhi-gang,WANG Jian-jun(Department of Mathematics and Statistics,Southwest University,Chongqing 400715,China) |
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| Abstract: | In this article,for the Bernstein type operators,using K-functional to study the direct and inverse theorems of approximation of any order,we gave the equivalent theorem of high order approximation characterization. |
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| Keywords: | Bernstein type operators high order approximation K-functional Ditzian-Totik modulus |
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