| 第一类双变量Chebyshev多项式的最小零偏差性质研究 |
| |
| 引用本文： | 李强,孙家昶.第一类双变量Chebyshev多项式的最小零偏差性质研究[J].计算数学,2008,30(3):283-294. |
| |
| 作者姓名： | 李强 孙家昶 |
| |
| 作者单位： | 1. 吉林大学数学学院,长春,130012;中国科学院软件研究所,北京,100080
2. 中国科学院软件研究所,北京,100080 |
| |
| 摘 要： | 利用Rivlin和Shapiro提出的符号理论,证明了文献10]中提出的第一类双变量Chebyshev多项式恰为所谓的Steiner区域上具有特殊首项的最小零偏差多项式,并由此导出了几类具有一定代数精度的数值积分公式.
|
| 关 键 词： | 第一类双变量Chebyshev多项式 最小零偏差 广义余弦函数 求积公式 |
CONSTRUCTION OF GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS IN COMPUTATIONAL GEOMETRY |
| |
| Li Qiang,Sun Jiachang.CONSTRUCTION OF GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS IN COMPUTATIONAL GEOMETRY[J].Mathematica Numerica Sinica,2008,30(3):283-294. |
| |
| Authors: | Li Qiang Sun Jiachang |
| |
| Affiliation: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China 2. Institute of Software, Chinese Academy of Sciences, Beijing 100080, China |
| |
| Abstract: | By using the theroy of extremal signature proposed by Rivlin and Shapiro,we prove that some of the Chebyshev polynomials in two variables of the first kind presented in are exactly the polynomials of least deviation from zero on the so-called Steiner's domain. Based on the sets of critial points of these Chebysev polynomials,we present several cubature formulas with certain degree. |
| |
| Keywords: | Chebyshev polynomials in two variables of the first kind least deviation from zero generalized cosine function cubature formulas |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《计算数学》浏览原始摘要信息 |
|
点击此处可从《计算数学》下载全文 |
|
