一个组合型的三角插值多项式

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

一个组合型的三角插值多项式

何甲兴, 孙雪楠

吉林工业大学理学院, 吉林长春130025

收稿日期:1999-06-25 出版日期:2000-04-25

Combinational Triangle Interpolation Polynomial

HE Jia-xing, SUN Xue-nan

College of Sciences, Jinn University of Technology, Changchun130025, China

Received:1999-06-25 Online:2000-04-25

摘要/Abstract

摘要： 将被插函数进行对称式求和,构造一个组和型的三角插值多项式S_n(f;r,x),使得它在全轴上一致收敛到每个以2π为周期的连续函数上,且对C_2π^j连续函数类的逼近均具有最佳收敛阶,这里0≤j≤r,r为任给的奇自然数。

关键词: 三角插值多项式, 对称法求和, 一致收敛, 最佳收敛阶

Abstract: In this paper, the function is summed by means of symmetry. The trigomometric interpolation combination polynomial S_n. (f; r, x) is constructed. If the function f(x)∈C_2π, then S_n(f; r, x) converge the function f(x) uniformly on (-∞ , +∞ ), and the convergence order is the best if f(x)∈ C_2π^j, where 0≤j≤ r, r is an arbitrary odd natural number.

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

中图分类号:

O174.42

何甲兴, 孙雪楠. 一个组合型的三角插值多项式[J]. 吉林大学学报(工学版), 2000, (2): 62-65.

HE Jia-xing, SUN Xue-nan. Combinational Triangle Interpolation Polynomial[J]. 吉林大学学报(工学版), 2000, (2): 62-65.

参考文献

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[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.
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[5] He Jiaxing. On the linear combination of grunwald polynomial operator［J］. Applied Math and Computation,1998 (96):117-126.

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