半三角Lagrange插值函数的构造

The Construction of Paratrigonometric Lagrange Interpolation Function

讨论了半三角Lagrange插值问题,在插值节点为奇数和偶数时给出了插值基和插值函数的具体表达,当被插值函数具有一定解析性时,给出了插值函数和插值余项的积分表达式.

This paper mainly discusses the paratrigonometric Lagrange interpolation problem. The expressions of interpolation basis are given under the condition that the interpolated points are even and odd respectively. When the interpolated function has certain analyticity, a clear integral representation for the remainder term is obtained by the residue theorem.