基于切比雪夫多项式的函数插值逼近  

Function interpolation and approximation based on Chebyshev polynomials

作　　者：王先传 江岩 赵佳[1] 张岩[1] 

机构地区：[1]阜阳师范学院计算机与信息工程学院,安徽阜阳236037 [2]阜阳师范学院数学与统计学院,安徽阜阳236037

出　　处：《阜阳师范学院学报（自然科学版）》2017年第4期7-11,20,共6页Journal of Fuyang Normal University(Natural Science)

基　　金：国家级大学生创新项目(201610371010);阜阳师范学院质量工程项目(2014JXTD01);阜阳师范学院横向课题(XDHX2016021);阜阳师范学院校级重点科研(2017FSKJ05ZD)资助

摘　　要：函数插值逼近经常应用于工程和技术领域。逼近效果不仅受算法影响,还与采用何种函数逼近有关。本文首先给出切比雪夫多项式的定义,讨论了其有关性质。而后重点论述了如何基于切比雪夫多项式的函数插值逼近,同时给出相应的Python语言代码。Function interpolation and approximation is often applied to engineering and technology. The approximation effects are affected not only by algorithms but also by adopted functions. This paper introduces Chebyshev polynomials and their properties. And then it focuses on discussing how to approximate a function based on Chebyshev polynomials. Meanwhile, it also shows the relevant codes in Python.

关 键 词：插值逼近 PYTHON 切比雪夫多项式 龙格现象 

分 类 号：O174[理学—数学]