| 实轴上Hermite插值算子的收敛性 |
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| 引用本文： | 赵易,李江波,周颂平.实轴上Hermite插值算子的收敛性[J].数学研究与评论,2008,28(1). |
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| 作者姓名： | 赵易 李江波 周颂平 |
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| 摘 要： | The present paper investigates the convergence of Hermite interpolation operators on the real line.The main result is: Given 0 <δ0 < 1/2,0 < ε0 < 1.Let f ∈ C(-∞,∞) satisfy |yk| = O(e(1/2-δ0)x2k) and |f(x)| = O(e(1-ε0)x2).Then for any given point x ∈R,we have limn→∞ Hn(f,x) = f(x).
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| 关 键 词： | convergence Hermite interpolation real line 实轴 Hermite Interpolation 插值算子 收敛性 Line Real Operators limn point result present paper convergence Hermite interpolation operators real line |
The Convergence of Hermite Interpolation Operators on the Real Line |
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| ZHAO Yi,LI Jiang-bo,ZHOU Song-ping.The Convergence of Hermite Interpolation Operators on the Real Line[J].Journal of Mathematical Research and Exposition,2008,28(1). |
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| Authors: | ZHAO Yi LI Jiang-bo ZHOU Song-ping |
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