| 一种递推的Kantorovich型算子的逼近 |
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| 引用本文： | 高义,黄永东.一种递推的Kantorovich型算子的逼近[J].内蒙古大学学报(自然科学版),2011,42(6):610-617. |
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| 作者姓名： | 高义 黄永东 |
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| 作者单位： | 北方民族大学信息与计算科学学院,银川,750021 |
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| 基金项目： | 国家自然科学基金项目资助(10961001) |
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| 摘 要： | 构造出一种递推的Kantorovich型算子,利用算子分解技巧研究了其在经典空间上的收敛性和逼近特征,并给出更加精细的渐进展式以及逼近度估计.
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| 关 键 词： | Kantorovich算子 收敛 渐进展式 逼近度 |
Approximation by a Kind of Recursive Kantorovich Type Operators |
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| GAO Yi,HUANG Yong-dong.Approximation by a Kind of Recursive Kantorovich Type Operators[J].Acta Scientiarum Naturalium Universitatis Neimongol,2011,42(6):610-617. |
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| Authors: | GAO Yi HUANG Yong-dong |
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| Institution: | GAO Yi,HUANG Yong-dong(School of Information and Computation Science,Beifang University of Nationalities,Yinchuan 750021,China) |
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| Abstract: | A kind of recursive Kantorovich type operators is constructed.Using decomposition technique of operators,the convergence for these operators and approximation characteristics on classic space are studied.The more sophisticated asymptotic behavior and an estimation of degree of approximation are obtained. |
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| Keywords: | Kantorovich operator convergence asymptotic behavior degree of approximation |
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