| 关于Bernstein—Kantorovich—Bezier对一类绝对连续函数的逼近算子 |
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| 引用本文： | 连博勇,蔡清波.关于Bernstein—Kantorovich—Bezier对一类绝对连续函数的逼近算子[J].泉州师范学院学报,2008,26(4):1-3. |
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| 作者姓名： | 连博勇 蔡清波 |
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| 作者单位： | [1]仰恩大学数学系,福建泉州362000 [2]泉州师范学院理工学院,福建泉州362000 |
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| 摘 要： | 利用经典的Bojanie-Cheng方法，结合分析技术，分别讨论了Bernstein-Kantorovich-Bezier算子在0〈a≤1及a≥1时，对一类绝对连续函数的逼近．
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| 关 键 词： | Bernstein-Kantorovich-B6zier算子 逼近度 绝对连续函数 |
Rate of Convergence of Bernstein-Kantorovich-Bezier Operator for Some Absolutely Continuous Functions |
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| Institution: | LIAN Bo-yong, CAI Qing-bo(1. Department of Mathematics, Yang-en University,Fujian 362014,China; 2. School of Science, Quanzhou Normal University,Fujian 362000,China) |
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| Abstract: | By using Bojanic-Cheng＇ s method and analysis techniques, the author studies the approximation properties of Bernstein-Kantorovich-Bezier Operator for some absolutely continuous functions in the case of 0 〈 a ≤ 1 and a ≥1 respectively. |
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| Keywords: | Bernstein-Kantorovich-Bezier operator rate of convergence absolutely continuous functions |
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