1) polynomial extrapolating
多项式外推
1.
The numerical results show that the highest extrapolating accuracy and long extrapolating distance can be reached using the 3rd polynomial extrapolating in long distance under the 4th polynomial fitting,especially in the sound smoothing area(50～350m).
计算结果表明:四次拟合基础上的各阶次外推中,三次多项式外推在较远距离上外推精度较高,特别是在声速变化平稳的深水区域(50～350m)外推精度保持较好。
2) extended Kantorovic polynomials
推广的Kantorovi多项式
1.
This paper studied the preserving Lipschitz condition property of extended Kantorovic polynomials P_n~* (f,x) in L_p [0,1] spaces.
本文研究推广的Kantorovi多项式P_n~*(f, x)在L_p[0,1]空间中的保持Lipschitz条件性质。
3) Polynomial iterative decomposition
多项式递推分解
4) generalized Bernoulli polynomial
推广的Bernoulli多项式
5) generalized Bernstein polynomials
推广的Bernstein多项式
1.
On the approxi mation for generalized Bernstein polynomials;
关于推广的Bernstein多项式的逼近
2.
The pointwise approximation degree of the derivatives of the generalized Bernstein polynomials for derivable functions is estimated,and the direct and converse theorems of approximation are established,so the corresponding results of Bernstein polynomials are generalized.
估计推广的Bernstein多项式导数对可导函数的点态逼近度,建立了逼近的正逆定理,从而推广了有关Bern-stein多项式的相应结果。
3.
The convergence of the derivatives of generalized Bernstein polynomials is discussed,and the direct theorem of the global approximation of the generalized Bernstein polynomials for the derivable function is established.
讨论了推广的Bernstein多项式的导数的收敛性,建立了推广的Bernstein多项式的导数对可导函数整体逼近的正定理。
6) generalized Bernstein polynomial
推广的Bernstein多项式
1.
The inverse theorem of global approximation of derivatives of generalized Bernstein polynomials;
关于推广的Bernstein多项式同时逼近的逆定理
2.
In this paper the simultaneous approximation of generalized Bernstein polynomial C_n(f,S_n;x) for functions and the derivatives is studied.
研究推广的Bernstein多项式Cn(f,Sn;x)对函数及其导数的同时逼近;对于f∈Cp+s〔+0,1〕,p≥1,给出了Cn(p)(f,Sn;x)的渐进展开式。
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。