1) weighted Kantorovich operator
加权的Kantorovich算子
1.
The weighted Kantorovich operator.
对于Kantorovich算子，我们通过加权方法进行改进，这种加权的Kantorovich算子反映出函数在每个区间[k+1／n+1，k+1／n+1]内各处的不同作用与影响，使得只改变相应的权函数就可以得到不同的逼近效果。
2) generalized Sikkema-Kantorovich operators
推广的Sikkema-Kantorovich算子
3) generalized Kantorovich operators
推广的Kantorovich算子
1.
In this paper,a kind of generalized Kantorovich operators Kn(f,Sn;x) were introduced and the convergence of these operators was discussed,then the degree of approximation of these operators in Orlicz spaces was obtained.
构造了一类推广的Kantorovich算子Kn(f,Sn;x),讨论了Kn(f,Sn;x)在Orlicz空间内的收敛性,并给出Kn(f,Sn;x)在Orlicz空间内的逼近阶的估计。
4) Kantorovich operators
Kantorovich算子
1.
Equivalent theorem of weighted approximation for Kantorovich operators in B_α spaces;
B_α空间中Kantorovich算子加权逼近的等价定理
2.
This paper deals with the direct-inverse inequalities and saturation theorems on the multivariate Kantorovich operators Knf defined on the simplex.
本文研究定义在单纯形上的多元Kantorovich算子逼近的正逆不等式与饱和定理,给出该算子在Lp(1≤p≤∞)空间的最优逼近类,即利用K-泛函的特征刻画分别满足‖Knf-f‖p=O(n-1) 与‖Knf-f‖p=o(n-1)的函数类。
3.
According to the Ditzian - Totik modulus , this paper makes a study of the pointwise and global characterization theorems for the derivatives of the Kantorovich operators, and obtains the equivalent theorem.
利用Ditzian-Totik光滑模研究了Kantorovich算子导数的点态和整体特征,得到等价定理。
5) Bernstein-Kantorovich operators
Bernstein-Kantorovich算子
1.
Weighted approximation of Bernstein-Kantorovich operators in B_α spaces;
Bernstein-Kantorovich算子在B_α空间的加权逼近
2.
In this paper we give the pointwise inequation for the derivatives of Bernstein-Kantorovich operators.
给出了Bernstein-Kantorovich算子高阶导数的点态不等式。
3.
Use the r-th classic modulus of smoothness ωr(f,t) to study the relation of the derivatives between Bernstein-Kantorovich operators and the smoothness of the function it approximates,and obtain the equivalent theorem between the derivatives of Bernstein-Kantorovich operators and the r-th classic modulus of smoothness ωr(f,t).
借助于r-阶古典光滑模ωr(f,t),研究了Bernstein-Kantorovich算子导数与它所逼近函数光滑性之间的关系,得到了Bernstein-Kantorovich算子导数与r-阶古典光滑模ωr(f,t)的等价定理。
6) Stancu-Kantorovich operator
Stancu-Kantorovich算子
1.
Approximation of Stancu-Kantorovich operators in Orlicz spaces;
Stancu-Kantorovich算子在Orlicz空间的逼近阶
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