| 关于Lagranse内插过程的“1/2”平均算子扩展的研究 |
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| 引用本文： | 叶继昌. 关于Lagranse内插过程的“1/2”平均算子扩展的研究[J]. 吉林大学学报(工学版), 1991, 0(3) |
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| 作者姓名： | 叶继昌 |
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| 作者单位： | 吉林工业大学应用数学系 |
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| 摘 要： | 本文利用文献[2]中介绍的方法,将以第二类切比雪夫多项式的零点为插值结点的Lagrange内插过程的“1/2”平均算子扩展成为可用来逼近无界函数的扩展算子。文中证明了扩展算子的收敛阶,并估计了扩展算子的收敛阶,得到了比较满意的结果。
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| 关 键 词： | 插值逼近 扩展算子 收敛阶 |
1/2"Average Operator on Polynomials of Lagrange Interpolation |
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| Ye Jichang. 1/2"Average Operator on Polynomials of Lagrange Interpolation[J]. Journal of Jilin University:Eng and Technol Ed, 1991, 0(3) |
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| Authors: | Ye Jichang |
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| Abstract: | In this paper, by applying the mathods introduced in Literature(2), the "1/2"average oprator of Lagrange interpolation process with zeros of Chebyshev polynomials of second kind is improved. The improved oprator is called enlargement oprator,which can be used to approximate unbound function. The convergence and its order of the enlargement oprator has been proved withsatisfactory results. |
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| Keywords: | interpolation approximation enlargement oprator convergence order |
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