基于第三类Chebyshev节点组的Hermite插值

Hermite polynomial interpolation based on the third Chebyshev nodes

在一元情形下研究基于第三类Chebyshev节点组的Hermite插值对一种解析函数类的逼近问题,得到了相应量的强渐近阶或其值.通过2个数值算例验证了所得结论的正确性.

The approximation of an analytical function class by the Hermite interpolation based on the Chebyshev nodes of the third kind in a single case is discussed,and the strong asymptotic order or its value is obtained.Two numerical examples validate the correctness of the conclusions.