| 拟Hermite插值算子导数逼近的平均收敛性 |
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| 引用本文： | 孙海田,马海腾,许贵桥.拟Hermite插值算子导数逼近的平均收敛性[J].天津师范大学学报(自然科学版),2009,29(1):12-15. |
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| 作者姓名： | 孙海田 马海腾 许贵桥 |
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| 作者单位： | 1. 天津师范大学数学科学学院,天津,300387
2. 天津天狮学院基础部,天津,301700 |
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| 摘 要： | 得到了以扩充的第二类Chebyshev多项式的零点为插值结点组的拟Hermite插值算子导数逼近的平均收敛速度．
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| 关 键 词： | 拟Hermite插值算子 导数逼近 平均收敛性 |
Mean convergence of derivative approximation by quasi-Hermite interpolation operators |
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| SUN Haitian,MA Haiteng,XU Guiqiao.Mean convergence of derivative approximation by quasi-Hermite interpolation operators[J].Journal of Tianjin Normal University(Natural Science Edition),2009,29(1):12-15. |
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| Authors: | SUN Haitian MA Haiteng XU Guiqiao |
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| Institution: | SUN Haitian , MA Haiteng, XU Guiqiao (1. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China; 2. Department of Basic Courses, Tianjin Tianshi College, Tianjin 301700, China) |
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| Abstract: | The mean convergence rate of derivative approximation by quasi-Hermite interpolation operators based on the zeros of extended Chebyshev polynomials of the second kind is obtained. |
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| Keywords: | quasi- Hermite interpolation operators derivative approximation mean convergence |
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