1) Lagrange polynomial
Lagrange多项式
1.
In terms of the recursive relation in the Lagrange polynomial form,a method of Lagrange-type matrix rational interpolation is presented in the inner product space.
通过Lagrange多项式的迭代公式,该文引入了内积空间中的一类Lagrange型的矩阵值有理插值。
2) lagrange interpolation polynomial
Lagrange插值多项式
1.
On the convergence at the zero of Lagrange interpolation polynomials;
基于等距结点的Lagrange插值多项式在零点的收敛速度
2.
Lagrange interpolation polynomial is revised and a new operator H n(f;x) is constructed.
对Lagrange插值多项式进行了修正 ,构造了一个新的算子Hn(f;x) ,Hn(f;x)对每个f(x) ∈Cj[- 1,1] ,0 ≤j≤ 3都一致收敛 ,并且收敛阶达到最
3.
Bernstein about the sequence of Lagrange interpolation polynomials to ｜x｜ at equally spaced nodes divergences everywhere to Newman-type nodes.
B rutm an和Passow把x在等距结点所构成Lagrange插值多项式序列几乎处处发散的结果推广到一类N ewm an型结点,文章考虑了更一般的函数,它的Lagrange插值多项式仍旧处处发散,进一步指出了x的发散性并不是孤立的现象。
3) Lagrange interpolation polynomials
Lagrange插值多项式
1.
The weakly asymptotic order for the average error of the Lagrange interpolation polynomials based on the zeros of Tchebycheff polynomials of the second kind in the Wiener space is obtained.
得到了以第二类Tchebycheff多项式的零点为插值结点组的Lagrange插值多项式在Wiener空间下的平均误差的弱渐近阶。
2.
This paper argues that the sequence of Lagrange interpolation polynomials corresponding to the function \$f(x)=|x|~α(0<α≤1)\$ on modified equidistant nodes in \ divergens everywhere in the interval except at zero and the end-points.
讨论了函数f(x)=|x|α(0<α≤1)在修改了的等距结点上构成的Lagrange插值多项式序列的发散性。
3.
This paper discusses the divergence of the sequence of Lagrange interpolation polynomials corresponding to the function f~α_λ(x)=x~α,0≤x≤1,λ|x|~α,-1≤x<0,(0<α≤1,λ being constant
在此讨论了函数fαλ(x)=xα,0≤x≤1,λ｜x｜α,-1≤x<0,(0<α≤1,λ是常数)在等距结点上构成的奇数次Lagrange插值多项式序列的发散性。
4) Lagrange polynomial interpolation
Lagrange多项式插值
1.
As a first step, a unified framework based on the Lagrange polynomial interpolation for various known discrete fractional Fourier transforms (DFRTs) is developed, and under this framework, the precision of the DFRT which approximates to the continuous fractional Fourier transform (CFRT) can then be theoretically evaluated using simple numerical mathematics.
首先将所有已知的分数维Fourier变换 (DFRT)统一定义在Lagrange多项式插值的框架下 ,从而使人们能够利用简单的计算方法理论分析出各类DFRT逼近到连续分数维Fourier变换 (FRT)的精度 ,同时 ,证明了最近由S 。
2.
We also analysis the precision and feasibility of interpolating the IGS 5 min precise clock offset into 30 s with both the Lagrange polynomial interpolation and linear interpolation.
对比了IGS官方提供的5 min和30 s间隔的精密钟差变化规律,分析了利用8阶滑动式Lagrange多项式插值和线性插值将精密钟差内插至30 s间隔的精度及可行性,得出了一些国内文献未论及的结论。
5) lagrange interpolation basic polynomial
Lagrange插值基本多项式
6) Lagrange piecewise interpolating polynomial
分段Lagrange插值多项式
1.
The Lagrange piecewise interpolating polynomial is adopted to approximate arbitrary dynamic loading in the Duhamel integration for the solution of dynamic response of a grid systems.
在求解格栅结构动力反应的Duham el积分中利用分段Lagrange插值多项式逼近任意动力荷载,推导了相关公式。
补充资料：多项式乘多项式法则
Image:1173836820929048.jpg
多项式乘多项式法则
先用一个多项式的每一项乘以另一个多项式的每一项，再把所得的积相加。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。