二元二次函数逼近的存在性和局部性

数学季刊 ›› 2006, Vol. 21 ›› Issue (1): 110-114.

二元二次函数逼近的存在性和局部性

Department of Mathematical and Physics, Dalian Jiaotong University, Dalian 116028, China

收稿日期:2003-04-14 出版日期:2006-03-30 发布日期:2023-12-25
作者简介:ZHENG Cheng-de(1966-),male,native of Linyi,Shandong,a professor of Dalian Jiaotong University,engages in mathematics analysis.
基金资助:
Supported by the NNSF of China(10271022, 60373093)； Supported by the Science and Technology Development Foundation of Education Department of Liaoning Province(2004C060)；

The Existence and Local Behavior of the Bivariate Quadratic Function Approximation

Department of Mathematical and Physics, Dalian Jiaotong University, Dalian 116028, China

Received:2003-04-14 Online:2006-03-30 Published:2023-12-25
About author:ZHENG Cheng-de(1966-),male,native of Linyi,Shandong,a professor of Dalian Jiaotong University,engages in mathematics analysis.
Supported by:
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/Abstract

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-Pade 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 , , an-
alytic , function

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

Key words: Hermite-Padé , , approximation, bivariate , , function , , approximation, bivariate , , an-
alytic , function

中图分类号:

O174.41

郑成德. 二元二次函数逼近的存在性和局部性[J]. 数学季刊, 2006, 21(1): 110-114.

ZHENG Cheng-de . The Existence and Local Behavior of the Bivariate Quadratic Function Approximation[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 110-114.

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