摘要
本文在三角多项式类中讨论了2π周期函数的一类Birkhoff型等距结点的三角插值问题,给出了此问题有解的充要条件,并构造出插值基.
In this paper,a kind of Birkhoff type tr trigonometric interpolation problems with equidistant nodes for 2π-periodic functions is discussed in the family of trigonometric polynomial. We find necessary and sufficient conditon for the solvable case of this interpolation problem. The expressions of the interpolation basis are constructed.
出处
《数学理论与应用》
2007年第4期69-73,共5页
Mathematical Theory and Applications
基金
湖北省教育厅2005年重点科研项目资助课题(D200515008)
关键词
三角多项式
三角多项式类
Birkhoff型三角插值
trigonometric polynomial
familty of trigonometric polynomial
birkhoff type trigonometricinterpolation
