1) Stancu-Kantorovic polynomial
Stancu-Kantorovic多项式
1.
Stancu-Kantorovic polynomials on a simplex is defined.
定义单纯形上Stancu-Kantorovic多项式,分别在C空间和L~P空间讨论其逼近性质。
2) Stancu polynomials
Stancu多项式
1.
This paper investigates the relationship between the multivariate Stancu polynomials and the modulus of continuity.
本文研究单纯形上多元Stancu多项式与连续模之间的关系,证明了Stancu多项式具有保持连续模的性质,推广了一元Bernstein多项式的相应结果。
2.
As a generalization of the famous Bernstein polynomials, a class of broader polynomials called the multivariate Stancu polynomials denned on the normal simplex is introduced.
作为Bernstein多项式的推广,本文定义单纯形上的多元Stancu多项式。
3.
For multivariate Stancu polynomials,which are generalization of the Bernstein polynomials defined on the simplex,we define an appropriate K-functional and use it as a metric to estimate the order of approximation.
对于单纯形上的多元Stancu多项式(它是多元Bernstein多项式的广义形式),定义一适当的K-泛函并以此作为度量尺度估计该多项式的逼近阶。
4) StancuKantorovi polynomials
Stancu-Kantorovi多项式
5) bivariate Kantorovic polynomials
二元Kantorovic多项式
1.
The Lipschitz property of the bivariate Kantorovic polynomials is discussed in L~p space.
研究了二元Kantorovic多项式在L~p空间的Lipschitz性质,证明该多项式与函数属于同一Lipschltz类。
6) Stancu-kantorovic operator
Stancu-kantorovic算子
补充资料:多项式乘多项式法则
Image:1173836820929048.jpg
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。