| 摘要: |
| 本文研究了由高斯核构成的拟插值算子在闭区间上的近似逼近问题.利用函数延拓和近似单位分划的方法,构造了拟插值算子,并得到了一致范数下的逼近阶估计. |
| 关键词: 近似逼近 高斯核 误差估计 连续模 |
| DOI： |
| 分类号:O174.41 |
| 基金项目: |
|
| IMPROVED ERROR ESTIMATES FOR APPROXIMATE APPROXIMATIONS WITH GAUSSIAN KERNELS ON COMPACT INTERVALS |
|
CHEN Zhi-xiang
|
| Abstract: |
| In this article, we study the approximate approximation for quasi-interpolation operators with Gaussian kernels on a closed interval. By using extension of functions and approximate partition of unity, we construct the operators of quasi-interpolation and obtain the estimates of approximation degree in uniform norm. |
| Key words: approximate approximation Gaussian kernels error estimates modulus of continuity |
