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The Existence and Local Behavior of Multivariate Algebraic Function Approximations

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【Author】 ZHENG Cheng-de and WANG Ren-hong(1. Department of Mathematics, Dalian Railway Institute, Dalian, 116028) (2. Institute of Mathematics, Dalian University of Technology, Dalian, 116024)

【机构】 Department of Mathematics； Dalian Railway Institute； Dalian； 116028 Institute of Mathematics； Dalian University of Technology； 116024； Institute of Mathematics； 116024；

【摘要】 <正> 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更多还原

【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.更多还原

【关键词】 algebraic function approximation； multivariate approximation； quadratic approximation； multivariate analytic function；
【Key words】 algebraic function approximation； multivariate approximation； quadratic approximation； multivariate analytic function；

【基金】 The NNSF (10271022, 60373093) of China;the NSF (021755) of Guangdong Province.

【文献出处】 Northeastern Mathematical Journal ,东北数学(英文版) , 编辑部邮箱 ,2004年01期

【分类号】O153
【被引频次】1
【下载频次】25

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