摘要
首先讨论了Hermite三角插值的收敛性问题,然后利用Hermite反三角插值公式建立了反周期函数正常积分的求积公式,最后通过分离奇点的方法建立了含余割核奇异积分的求积公式.
The convergence of Hermite trigonometric interpolation is discussed firstly, and then a quadrature for the proper integral of 2π-antiperiodic functions is established by Hermite antl-trigonometric interpolation. Finally the quadrature formulae of corresponding singular integrals with kernel csc （t-x）/2 are derived by using the method of separation of singularity.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
2007年第2期110-113,共4页
Journal of Ningxia University(Natural Science Edition)
基金
Supported by the National Natural Science Foundation of China(10461008,10661009)
Supported by the KeyResearch of Science and Technology of MOE(207124)
Supported by the Natural Science Foundation of Ningxia(NZ0722)
Supported by the Scientific Research Foundation of Higher School in Ningxia
Supported by the Natural Science Foundation of Ningxia University(LG0407,LG0409).
关键词
反周期函数
Hermite三角插值
奇异积分
antiperiodic function Hermite trigonometric interpolation
singular integral
