| The Existence and Local Behavior of Multivariate Algebraic Function Approximations |
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| 作者姓名： | 郑成德 王仁宏 |
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| 作者单位： | Department of Mathematics，Dalian Railway Institute，Dalian，116028 Institute of Mathematics，Dalian University of Technology，Dalian，116024，Institute of Mathematics，Dalian University of Technology，Dalian，116024 |
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| 基金项目： | The NNSF (10271022, 60373093) of China，the NSF (021755) of Guangdong Province. |
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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
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The Existence and Local Behavior of Multivariate Algebraic Function Approximations |
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| ZHENG Cheng-de and WANG Ren-hong.The Existence and Local Behavior of Multivariate Algebraic Function Approximations[J].Northeastern Mathematical Journal,2004(1). |
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| Authors: | ZHENG Cheng-de and WANG Ren-hong |
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| Abstract: | 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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| Keywords: | algebraic function approximation multivariate approximation quadratic approximation multivariate analytic function |
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