| 关于函数及其导数用Bernstein-Durrmeyer算子的同时逼近 |
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| 引用本文： | 郭顺生,刘喜武.关于函数及其导数用Bernstein-Durrmeyer算子的同时逼近[J].数学学报,2000,43(2):367-374. |
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| 作者姓名： | 郭顺生 刘喜武 |
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| 作者单位： | [1]河北师范数学系 [2]四川大学数学系 |
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| 基金项目： | 河北省自然科学基金资助项目 |
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| 摘 要： | 本文利用点态连续模研究了Ｂｅｒｎｓｔｅｉｎ－Ｄｕｒｒｍｅｙｅｒ算子的同时逼近，推广了关于有界变差函数和连续函数的结果．
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| 关 键 词： | Bernstein-Durrmeyer算子 同时逼近 点态连续模 |
| 文章编号： | 0583-1431(2000)02-0367-08 |
| 修稿时间： | 1999年4月13日 |
On the Simultaneous Approximation of Functions and Their Derivatives by the Bernstein-Durrmeyer Operators |
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| GUO Shun-sheng.On the Simultaneous Approximation of Functions and Their Derivatives by the Bernstein-Durrmeyer Operators[J].Acta Mathematica Sinica,2000,43(2):367-374. |
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| Authors: | GUO Shun-sheng |
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| Institution: | GUO Shun-sheng (Department of Mathematics, Hebei Teacher's University, Shijiazhuang 050016, P. R. China) (E-mail: zlx6826@sj-user.he.cninfo.net) LIU Xi-wu (Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China) (Center of Computer, |
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| Abstract: | Using the pointwise modulus of continuity, we discussed the simultaneous approximation for Bernstein-Durrmeyer operators. The results include the results on functions of bounded variation and continuous functions. |
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| Keywords: | Bernstein-Durrmeyer operators Simultaneous approximation Pointwise modulus of continuity |
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