| 球面卷积算子的收敛与逼近 |
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| 引用本文： | 陶红.球面卷积算子的收敛与逼近[J].湖北大学学报(自然科学版),1998,20(1):19-21. |
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| 作者姓名： | 陶红 |
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| 作者单位： | 湖北大学数学与计算机科学学院 |
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| 摘 要： | 讨论了球面卷积算子的收敛性，给出了卷积算子收敛的若干等价描述，并估计了其收敛速度，应用所得结果，得到了球面Ｊａｃｋｓｏｎ－Ｍａｔｓｕｏｋａ算子的逼近度估式。
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| 关 键 词： | 球面卷积算子 收敛 逼近 J－M算子 |
The Convergence and Approximation of Spherical Convolution Operators |
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| Tao Hong.The Convergence and Approximation of Spherical Convolution Operators[J].Journal of Hubei University(Natural Science Edition),1998,20(1):19-21. |
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| Authors: | Tao Hong |
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| Abstract: | The convergence of spherical convolution operators is studied.The equivalent conditions of convergence and estimates for approximation by spherical convolution operators are established As an example,the approximatoin orders of spherical Jackson-Matsuoka operators are presented |
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| Keywords: | Spherical convolution operator Jackson-Matsuoka operator Convergence Approximation |
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