| 二元二次函数逼近的存在性和局部性 |
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| 引用本文： | 郑成德. 二元二次函数逼近的存在性和局部性[J]. 数学季刊, 2006, 21(1): 110-114 |
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| 作者姓名： | 郑成德 |
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| 作者单位： | Department of Mathematical and Physics，Dalian Jiaotong University，Dalian 116028，China |
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| 基金项目： | Supported by the NNSF of China(10271022, 60373093)，Supported by the Science and Technology Development Foundation of Education Department of Liaoning Province(2004C060) |
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| 摘 要： | This paper analysis the local behavior of the bivariate quadratic function approximation to a bivariate function which has a given power series expansion about the origin. It is shown that the bivariate quadratic Hermite-Pade form always defines a bivariate quadratic function and that this function is analytic in a neighborhood of the origin.
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| 关 键 词： | Hermite-Padé approximation |
The Existence and Local Behavior of the Bivariate Quadratic Function Approximation |
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| ZHENG Cheng-de. The Existence and Local Behavior of the Bivariate Quadratic Function Approximation[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 110-114 |
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| Authors: | ZHENG Cheng-de |
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| Abstract: | This paper analysis the local behavior of the bivariate quadratic function approximation to a bivariate function which has a given power series expansion about the origin. It is shown that the bivariate quadratic Hermite-Pade form always defines a bivariate quadratic function and that this function is analytic in a neighborhood of the origin. |
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| Keywords: | Hermite-Pade approximation bivariate function approximation bivariate analytic function |
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