[1]文晓霞,李风军.一类π-反周期函数的双周期插值问题[J].江西师范大学学报(自然科学版),2017,(01):39-41.
　WEN Xiaoxia,LI Fengjun.The Kind of 2-Periodic Interpolation by π-Anti-Periodic Function[J].Journal of Jiangxi Normal University:Natural Science Edition,2017,(01):39-41.
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一类π-反周期函数的双周期插值问题()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2017年01期
页码:
39-41
栏目:
出版日期:
2017-01-01

文章信息/Info

Title:
The Kind of 2-Periodic Interpolation by π-Anti-Periodic Function
作者:
文晓霞; 李风军
1.宁夏大学物理与电子电气工程学院,宁夏 银川 750021; 2.宁夏大学数学统计学院,宁夏 银川 750021
Author(s):
WEN Xiaoxia; LI Fengjun
1.School of Physics and Electronic-Electrical Engineering,Ningxia University,Yinchuan Ningxia 750021,China; 2.School of Mathematics and Statistice,Ningxia University,Yinchuan Ningxia 750021,China
关键词:
反周期函数;  双周期;  (0; δm)插值;  高阶差分
Keywords:
anti-periodic function;  2-periodic;  (0; δm)-interpolation;  higher-order difference
分类号:
O 174
文献标志码:
A
摘要:
讨论了一类反周期函数在等距结点组上的双周期插值问题,结合函数所要满足的插值条件与该类反周期函数所满足的基础分解定理,再利用插值基函数的性质,给出插值问题解存在的充分必要条件,并得到相应条件下解的显式.
Abstract:
A kind of 2-periodic interpolation on a group of equidistant nodes by anti-periodic function is studied.The necessary and sufficient condition of solvability of 2-periodic anti-periodic interpolation problem is obtained through applying decomposition theorem and property of interpolation basic function,a result by interpolation is given at equal-distant nodal point sets,and the solution is obtained if it exists in the end.

参考文献/References:

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相似文献/References:

[1]文晓霞.一类反周期函数的双周期缺项插值问题[J].江西师范大学学报(自然科学版),2014,(01):62.
　WEN Xiao-xia.The Solution of 2-Periodic Lacunary Interpolation by Antiperiodic Function[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(01):62.

备注/Memo

备注/Memo:
收稿日期:2016-12-23基金项目:国家自然科学基金(11261042,61662060)资助项目.作者简介:文晓霞(1979-),女,宁夏同心人,副教授,主要从事函数逼近论的研究.E-mail:wen_xx@nxu.edu.cn
更新日期/Last Update: 1900-01-01