反周期函数的2-周期(0,m)三角插值的收敛性
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何尚琴[1] 侯象乾[2] 李霞[1] 高明晶[1]
[1]河北科技师范学院数理系,河北秦皇岛066004 [2]宁夏大学数学计算机学院,宁夏银川750021
摘 要:
研究了以π为周期的反周期函数的2-周期(0,m)三角插值,得到了解存在的条件,并给出对应条件下解的显式表达式及收敛阶.[著者文摘]
关 键 词:
文章出处:
《纯粹数学与应用数学》-2007年23卷4期 -513-518页
Pure and Applied Mathematics
分 类 号:
文献标识码:
A
文章编号:
1008-5513(2007)04-0513-06
[参考文献]
On the 2-periodic (0,m) trigonometric interpolation of antiperiodic function
HE Shangqin, HOU Xiangqian,LI Xia ,GAO Mingjing( 1. Department of Mathematics and Physics ,Hebei Normal University of Science and Technology ,Qinhuangdao 066004,China;2. Institute of Mathematics and Computer, Ningxia University, Yinehuan 750021,China,)
Abstract:
The 2-periodic (0, m)trigonometric interpolation of π antiperiodic function are studied, the condition of the existence of solutions was obtained, the explicit form and the rate of convergence were got in the corresponding condition.[著者文摘]
Key words:
antiperiodic function, 2-periodic (0, m) trigonometric interpolation, the rate of convergence
收稿日期: 2006-10-23
基金资助:
宁夏高等学校科研基金资助项目(004M33).

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