一类π-反周期函数的双周期插值问题  

The Kind of 2-Periodic Interpolation by π-Anti-Periodic Function

作　　者：文晓霞[1] 李风军[2] 

机构地区：[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

出　　处：《江西师范大学学报（自然科学版）》2017年第1期39-41,共3页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11261042;61662060)资助项目

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.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.

关 键 词：反周期函数 双周期 (0 δm)插值 高阶差分 

分 类 号：O174[理学—数学]