带参数的C²四次三角Hermite插值样条函数

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中图分类号：0241.5 文献标志码：A

Abstract： To overcome the limitations of cubic Hermite interpolation splines，a novel quartic trigonometric Hermite interpolation spline with multiple parameters was proposed. Firstly，in the trigonometric function space，by solving a system of equations under the C2 continuity condition，quartic trigonometric Hermite interpolation basis functions with three parameters were constructed. Then， piecewise quartic trigonometric Hermite interpolation spline functions were defined. Numerical examples demonstrate that， under given interpolation conditions，by making reasonable choices of the multiple parameters，this spline function can achieve higher interpolation accuracy.

Keywords ： C2 continuity；quartic trigonometric Hermite interpolation spline； interpolationaccuracy

在应用数值逼近领域，三次Hermite插值函数是一种常用工具[-5]，但仍然存在许多不足。（剩余3855字）