Chebyshev二次Padé逼近  

Chebyshev quadratic Padé approximation

作　　者：陶长虹[1] 

机构地区：[1]合肥工业大学理学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2005年第4期438-440,445,共4页Journal of Hefei University of Technology：Natural Science

摘　　要：对于具有Chebyshev展式的函数,文章利用Faber映射及幂级数二次Padé逼近,给出其具有关于Chebyshev正交多项式的逼近阶的逼近函数,并将其用Chebyshev正交多项式分式表示。该逼近随着任何"增长的"逼近序列,有着不断增长的逼近精度。In this paper,for the function of Chebyshev expansion,the approximating function having the approximant's order of Chebyshev polynomials is given by means of Faber mapping and quadratic Padé approximation of power series,and it is also expressed by the fraction of Chebyshev polynomials. With the 'increasing'of the approximant's sequence, the precision of appromation also increases.

关 键 词：二次Padé逼近 Chebyshev正交多项式 逼近多项式 逼近阶 

分 类 号：O174.41[理学—数学]