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| Hermite插值算子在加权L_p范数下的导数逼近 | |
| 引用本文： | 王鑫,张晓翠,白椿,许贵桥. Hermite插值算子在加权L_p范数下的导数逼近[J]. 天津师范大学学报(自然科学版), 2011, 31(4): 7-12,19 |
| 作者姓名： | 王鑫 张晓翠 白椿 许贵桥 |
| 作者单位： | 1. 保定学院数学与计算机系,河北保定,071000 2. 天津师范大学数学科学学院,天津,300387 3. 衡水学院数学系,河北衡水,053000 |
| 基金项目： | 保定学院科研基金资助项目 |
| 摘 要： | 研究了以扩充的第二类Chebyshev多项式的零点为插值结点组的Hermite插值算子在加权Lp范数下的导数逼近问题(权函数为Jacobi权). |
| 关 键 词： | Hermite插值算子 Jacobi权 导数逼近 Chebyshev多项式 |
Derivative approximation of Hermite interpolation on weighted Lp norm |
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| WANG Xin,ZHA NG Xiaocui,BAI Chun,XU Guiqiao. Derivative approximation of Hermite interpolation on weighted Lp norm[J]. Journal of Tianjin Normal University(Natural Science Edition), 2011, 31(4): 7-12,19 | |
| Authors: | WANG Xin ZHA NG Xiaocui BAI Chun XU Guiqiao |
| Affiliation: | WANG Xin1,ZHANG Xiaocui2,BAI Chun3,XU Guiqiao2(1.Department of Mathematical and Computer Science,Baoding College,Baoding 071000,Hebei Province,China,2.College of Mathematical Science,Tianjin Normal University,Tianjin 300387,3.Department of Mathematical Science,Hengshui College,Hengshui 053000,China) |
| Abstract: | The derivative approximation problem of Hermite interpolation based on the zeros of extensive Chebyshev polynomials of the second kind on weighted Lp norm with Jacobi weights is studied. |
| Keywords: | Hermite interpolation Jacobi weights derivative approximation Chebyshev polynomials |
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