| 多元代数函数逼近的存在性与局部性质 |
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| 引用本文： | 郑成德 王仁宏. 多元代数函数逼近的存在性与局部性质[J]. 东北数学, 2004, 20(1): 89-100 |
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| 作者姓名： | 郑成德 王仁宏 |
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| 作者单位： | [1]DepartmentofMathematics,DalianRailwayInstitute,Dalian,116028 [2]InstituteofMathematics,DalianUniversityofTechnology,Dalian,116024 |
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| 摘 要： | The existing scheme of rational polynomial approximants, defined by multivariate power series, is extended to define approximants with branch points. The existence theorem is obtained. The basic properties used to define the rational approximants can be preserved almost intactly. Especially, the local behavior of the diagonal bivariate quadratic algebraic function approximation is analysed.
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| 关 键 词： | 代数函数逼近 存在性 局部性质 Pade逼近 |
The Existence and Local Behavior of Multivariate Algebraic Function Approximations |
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