| 关于Kantorovich算子的逼近阶 |
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| 引用本文： | 何甲兴.关于Kantorovich算子的逼近阶[J].吉林大学学报(工学版),1994(1). |
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| 作者姓名： | 何甲兴 |
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| 摘 要： | 研究了Ｋａｎｔｏｒｏｖｉｃｈ算子的逼近，给出了该算子的任意阶导数对有界变差函数的逼近阶；并给出了迭代极限和迭代误差估计式．
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| 关 键 词： | Kantorovich算子，导数逼近，收敛阶，迭代极限 |
On the Convergence Order of the Kantorovich Operators |
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| He Jiaxing.On the Convergence Order of the Kantorovich Operators[J].Journal of Jilin University:Eng and Technol Ed,1994(1). |
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| Authors: | He Jiaxing |
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| Abstract: | The purpose of this paper is to give the rate of convergence by rth-derivative of the Kantorovich operator approximate rth-derivative of f when f(r) is a bounded variaion on 0, 1 . The convergence order and limit of iterates rth-derivative of the Kantorovich operator are considered. |
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| Keywords: | Kantorovich operators Derivative appronimation Convergence order Limit of iterates |
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