论文标题
泰勒多项式的插值和外推函数的数学结构
Mathematical Construction of Interpolation and Extrapolation Function by Taylor Polynomials
论文作者
论文摘要
在本文中，我提出了统一插值和外推函数的推导，该函数通过在给定数据集的中间扩展直接泰勒级数来预测给定范围内外的新值。以通用形式得出的实验模型的数学结构。三角和功率功能在数值实验中采用了重要方面的测试功能。实验模型被插值并在测试函数生成的数据集上推断。与分析值相比，由衍生模型预测的数值实验的结果。
In this present paper, I propose a derivation of unified interpolation and extrapolation function that predicts new values inside and outside the given range by expanding direct Taylor series on the middle point of given data set. Mathematical construction of experimental model derived in general form. Trigonometric and Power functions adopted as test functions in the development of the vital aspects in numerical experiments. Experimental model was interpolated and extrapolated on data set that generated by test functions. The results of the numerical experiments which predicted by derived model compared with analytical values.
