吉林大学学报(工学版) ›› 2000, Vol. ›› Issue (2): 62-65.

Previous Articles     Next Articles

Combinational Triangle Interpolation Polynomial

HE Jia-xing, SUN Xue-nan   

  1. College of Sciences, Jinn University of Technology, Changchun130025, China
  • Received:1999-06-25 Online:2000-04-25

PDF (PC)

248

Abstract: In this paper, the function is summed by means of symmetry. The trigomometric interpolation combination polynomial Sn. (f; r, x) is constructed. If the function f(x)∈C2π, then Sn(f; r, x) converge the function f(x) uniformly on (-∞ , +∞ ), and the convergence order is the best if f(x)∈ C2πj, where 0≤j≤ r, r is an arbitrary odd natural number.

Key words: trigonometric interpolation polynomial, symmetrical summation, convergence uniform, the best convergence order

CLC Number: 

  • O174.42
[1] Bemstein S N. On a class of modified Lagrange interpolation formulae［A］. Collected Works［C］, Akad. Nauk U. S. S. R,1954:130-140.
[2] Kis O. On the trigonometric Lagrange interpolation polynomial［J］. Acta Math. Acad Sci. Hungar,1973,24:354-361.
[3] 张雨雷,何甲兴.组合型三角插值多项式［J］.工程数学学报,1997,14(1):33-37.
[4] 张雨雷. S. N. Bemstein 型三角插值多项式［J］.计算数学,1997(2):154-158
[5] He Jiaxing. On the linear combination of grunwald polynomial operator［J］. Applied Math and Computation,1998 (96):117-126.
[1] ZHANG Shu-ting, WANG Shu-yun, HE Jia-xing. Convergence Order of Double Variate Combination Trigonometric Interpolation Polynomials [J]. 吉林大学学报(工学版), 2002, (1): 52-56.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd