| 一类多元Szasz-Mirakjan算子线性组合的一致逼近 |
| |
| 引用本文： | 周小华,辛晓东. 一类多元Szasz-Mirakjan算子线性组合的一致逼近[J]. 浙江理工大学学报, 2011, 0(5) |
| |
| 作者姓名： | 周小华 辛晓东 |
| |
| 作者单位： | 绍兴文理学院上虞分院数学系; |
| |
| 摘 要： | 运用K-泛函方法,主要研究一类多元Szasz-mirakjan算子线性组合的逼近问题,建立一致逼近下的正、逆定理,并给出逼近阶的估计和特征刻划。从而将一元Szasz-Mirakjan算子及其线性组合的相关结果推广到多元情形。
|
| 关 键 词： | 多元Szasz-Mirakjan算子 线性组合 一致逼近 特征刻划 |
Uniform Approximation by Class of Combinations of Multidimensional Szasz-Mirakjan Operators |
| |
| ZHOU Xiao-hua,XIN Xiao-dong. Uniform Approximation by Class of Combinations of Multidimensional Szasz-Mirakjan Operators[J]. Journal of Zhejiang Sci-tech University, 2011, 0(5) |
| |
| Authors: | ZHOU Xiao-hua XIN Xiao-dong |
| |
| Affiliation: | ZHOU Xiao-hua,XIN Xiao-dong (Department of Mathematics,Shangyu College,Shaoxing University,Shangyu 312300,China) |
| |
| Abstract: | In this paper,a class of linear combinations of multidimensional Szasz-Mirakjan operators are considered by K-factional method.A theorem and its reverse under uniform approximation are established,the estimate and characterization of the order of the approximation are alse given.Then,the anthor extend the results of one-dimensional Szasz-Mirakjan operators to multidimension results. |
| |
| Keywords: | multidimensional szasz-mirakjan operators linear combination uniform approximation characterization |
| 本文献已被 CNKI 等数据库收录！ |
