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-  2018 

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

DOI: 10.13718/j.cnki.xdzk.2018.06.011

Keywords: 反周期函数, 双周期, 插值
antiperiodic function
, 2-periodic, interpolation

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Abstract:

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

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