| 二元二次孙数逼近的解析性质 |
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| 引用本文： | 王利. 二元二次孙数逼近的解析性质[J]. 大连铁道学院学报, 2009, 0(1): 88-90 |
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| 作者姓名： | 王利 |
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| 作者单位： | 大连交通大学轨道交通技术学院; |
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| 摘 要： | 对于原点附近展成幂级数的二元函数，研究了对角二元二次函数逼近的存在性以及原点附近的局部性质，证明了对角二元二次函数逼近总能得到在原点的某邻域内解要并且满足一定逼近阶的函数。
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| 关 键 词： | Cantrbury逼近 二元函数逼近 二元解析函数 |
The Existence and Local Behavior of the Bivaiate Quadratic Function Approximation |
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| WANG Li. The Existence and Local Behavior of the Bivaiate Quadratic Function Approximation[J]. Journal of Dalian Railway Institute, 2009, 0(1): 88-90 |
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| Authors: | WANG Li |
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| Affiliation: | WANG Li(School of Track & Transportation,Dalian Jiaotong University,Dalian 116011,China) |
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| Abstract: | This paper analyses the local behavior of the bivariate quadratic function approximation to a bivaiate function which has a given power series expansion about the origin. It is shown that the bivariate quadratic Hermite-Padé form always defines a bivariate quadratic function and that this function is analytic in a neighbour-hood of the origin. |
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| Keywords: | Hermite-Padé approximation bivariate function approximation bivariate analytic function |
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