一类反周期函数缺项插值问题的解  

Solution on a Kind of Lacunary Interpolation by Antiperiodic Function

作　　者：文晓霞 WEN Xiao-xia(School of Physics and Electronic-Electrical Engineering, Ningxia University, Yinchuan 750021, China)

机构地区：[1]宁夏大学物理与电子电气工程学院,银川750021

出　　处：《西南大学学报（自然科学版）》2018年第6期73-77,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11662015;61662060);宁夏回族自治区科技攻关(支撑)计划项目(2016KJHM35)

摘　　要：对一类反周期函数双周期插值问题进行分析,根据插值条件,结合基多项式的分解定理,建立相应的线性方程组,由克莱默法则给出插值问题有解的充分必要条件,并得到该条件下插值解的显式表达式.The 2-periodic interpolation under antiperiodic trigonometric polynomials is considered.A series of linear equations are established by decomposing the basis polynomials of interpolation,and a sufficient and necessary condition is given based on the Cramer＇s rule and the explicit expression of the interpolation solution is obtained.

关 键 词：反周期函数 双周期 插值 

分 类 号：O174.41[理学—数学]