期刊文献+

Chebyshev二次Padé逼近 被引量:2

Chebyshev quadratic Padé approximation
在线阅读 下载PDF
导出
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.
作者 陶长虹
出处 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第4期438-440,445,共4页 Journal of Hefei University of Technology:Natural Science
关键词 二次Padé逼近 Chebyshev正交多项式 逼近多项式 逼近阶 quadratic Padé approximation Chebyshev orthogonal polynomial approximant's polynomial order of approximation
  • 相关文献

参考文献7

  • 1Baker G A, Graves-Morris P R.Definition and uniqueness of integral approximation[J].J Comp Appl Math,1990,31:89-156.
  • 2Safer R E.On quadratic approximation[J].SIAM J Numer Anal,1974,11:345-379.
  • 3Baker G A Jr.Essentials of Padé approximants[M].New York:Academic Press, 1975.76-127.
  • 4徐献瑜 李家楷 徐国良.Padé逼近概论[M].上海:上海科学技术出版社,1980.248-289.
  • 5Brookers R G,Mcinnes A W.The existence and local behaviour of the quadratic function approximation[J].J Approx,1990,62:383-395.
  • 6Fidalgo U,Lagomasino G L.On perfect Ivikishin systems[J].Comp methods in Functions Theory,2002,(2):415-426.
  • 7Condar A A,Rakhmanov E A,Sorokin V N.Hermite-Padé approximants for systems of Markov-type functions[J].Sbomik Math,1997,188:33-58.

同被引文献11

  • 1Baker G A ,Jr. Convergence theorems for rows of differential and algebraic Hermite Pade approximation [J] . J Comput Appl Math, 1987,18: 29-52.
  • 2Paszkowski S. Hermite Pade approximation(basic notions and theorems) [J]. J Comput Appl Math, 1990, 32: 229-236.
  • 3徐献瑜,李家楷,徐国良.Pade逼近概论[M].上海:上海科学技术出版社,1980.248-289.
  • 4Paszkowski S. Recurrence relations in Hermite Pade approximation[J]. J Comput Appl Math , 1987,19 : 99-107.
  • 5切尼EW.逼近论导引[M].上海:上海科学技术出版社,1981.27—69.
  • 6徐献瑜,李家楷,徐国良.Padé逼近概论[M].上海:上海科学技术出版社,1980:248-289.
  • 7Paszkowski S.Recurrence relations in Hermite-Padé approximation[J].J.Comput.appl.Math.,1987,19(11):99-107.
  • 8Baker,Jr G A.Convergence theorems for rows of differential and algebraic Hermite-Padé approximation[J].J.Comput.appl.Math.,1987,18(6):29-52.
  • 9Paszkowski S.Hermite-Padé approximations (basic notions and theorems)[J].J.Comput.appl.Math.,1990,32(3):229-236.
  • 10法埃兹.阿赫买德.正交多项式及Pade逼近[J].应用数学和力学,1998,19(7):619-623. 被引量:5

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部