The Existence and Local Behavior of the Bivariate Quadratic Function Approximation  

The Existence and Local Behavior of the Bivariate Quadratic Function Approximation

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作  者:ZHENG Cheng-de 

机构地区:[1]Department of Mathematical and Physics, Dalian Jiaotong University, Dalian 116028, China

出  处:《Chinese Quarterly Journal of Mathematics》2006年第1期110-114,共5页数学季刊(英文版)

基  金:Supported by the NNSF of China(10271022, 60373093);Supported by the Science and Technology Development Foundation of Education Department of Liaoning Province(2004C060)

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-Padé form always defines a bivariate quadratic function and that this function is analytic in a neighborhood of the origin.

关 键 词:Hermite-Padé approximation bivariate function approximation bivariate analytic function 

分 类 号:O174.41[理学—数学]

 

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