Bernstein算子的导数加Jacobi权逼近的正逆定理 |
| |
作者姓名: | 李景斌 |
| |
作者单位: | 西北第二民族学院,经济管理系,宁夏,银川,750021 |
| |
摘 要: | 利用加权K-泛函与加权光滑模的等价关系,得到了加权意义下Bernstein算子的导数与它所逼近函数的光滑性之间关系的等价定理.
|
关 键 词: | Bernstein算子 加权K-泛函 加权光滑模 加权逼近 |
文章编号: | 0455-2059(2006)04-0111-03 |
收稿时间: | 2005-02-28 |
修稿时间: | 2005-02-282005-12-02 |
The direct and the inverse approximated theorem of the derivatives of the Bernstein operators with Jacobi weights |
| |
Authors: | LI Jing-bin |
| |
Institution: | Department of Economics and Management, The Second Northwest Institute for Ethnic Minorities Yinchuan 750021, China |
| |
Abstract: | Using the equivalence relation between weighted K-functional and weighted modula of smoothness, a direct theorem and inverse theorem of the relation connected with deriwtives of the Bernstein operators and the smoothness of functions are obtained. |
| |
Keywords: | Bernstein operator weighted K-functional weighted moduli of smoothness weighted approximation |
本文献已被 CNKI 等数据库收录! |