%0 Journal Article %T 一类反周期函数缺项插值问题的解<br>Solution on a Kind of Lacunary Interpolation by Antiperiodic Function %A 文晓霞 %J 西南大学学报(自然科学版) %D 2018 %R 10.13718/j.cnki.xdzk.2018.06.011 %X 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.<br>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 %K 反周期函数 %K 双周期 %K 插值< %K br> %K antiperiodic function %K 2-periodic %K interpolation %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/6/201806011.htm