| 一类推广的Bernstein-Kantorovich算子的点态逼近 |
| |
| 引用本文： | 刘国芬. 一类推广的Bernstein-Kantorovich算子的点态逼近[J]. 纯粹数学与应用数学, 2014, 0(1): 32-39 |
| |
| 作者姓名： | 刘国芬 |
| |
| 作者单位： | [1]河北师范大学数学与信息科学学院,河北 石家庄 050024 [2]河北省计算数学与应用重点实验室,河北 石家庄 050024 |
| |
| 基金项目： | 国家自然科学基金（10801043）. |
| |
| 摘 要： | 讨论Bernstein-Kantorovich算子的一种推广形式的逼近性质,运用插项的方法证明了逼近正定理,并证明了逆定理,得到了逼近等价定理.完善了算子在逼近性质方面的结果.
|
| 关 键 词： | Bernstein-Kantorovich型算子 光滑模 K-泛函 逼近正逆定理 |
Pointwise approximation for a generalization of Bernstein-Kantorovich operators |
| |
| Liu Guofen. Pointwise approximation for a generalization of Bernstein-Kantorovich operators[J]. Pure and Applied Mathematics, 2014, 0(1): 32-39 |
| |
| Authors: | Liu Guofen |
| |
| Affiliation: | Liu Guofen (1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China; 2. Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024, China) |
| |
| Abstract: | We study the properties of approximation for a generalization of Bernstein-Kantorovich operators and prove the direct approximation theorem by the means of inserting term and the inverse theorem, namely the equivalence theorem. The results of the properties of approximation for this kind of operators are perfected. |
| |
| Keywords: | generalized Bernstein-Kantorovich operators modulus of smoothness K-functional direct and inverse approximation theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
