1) 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。
2) Kantorovich operator
Kantorovich算子
1.
On approximation by Kantorovich operator in Ba spaces;
Kantorovich算子在Ba空间中的逼近
2.
In this paper,we give iterated Boolean Sums of Kantorovich operators at first,then the direct,inversetheorems and the charaterization of approximation order.
构造了一类Kantorovich算子的迭代布尔和 ,然后给出了用它逼近连续函数时的正定理、逆定理和非饱和逼近阶的特征刻划 。
3.
Kantorovich operator is the generalization of the Bernstein operator.
Kantorovich算子是Bernstein算子的一种推广。
3) 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。
4) 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
5) Stancu-Kantorovich operators
Stancu-Kantorovich算子
1.
By introducing smooth modulus with weighted function,and with the help of the equivalent relation between smooth modulus and K-functional,the problem of the weighted approximation for Stancu-Kantorovich operators in Bα spaces is studied,then the direct theorem of strong type is obtained.
通过引入带权函数的光滑模,借助光滑模与K泛函的等价关系,研究了Stancu-Kantorovich算子在Bα空间的加权逼近,得到了逼近的强型正定理。
2.
Abstract The approximation problem by Stancu-Kantorovich operators in Ba spaces is studied.
讨论Stancu-Kantorovich算子在Ba空间中的逼近阶与饱和性质,得到了逼近阶的一种估计与饱和性定理。
6) Sikkema-Kantorovich operators
Sikkema-Kantorovich算子
1.
The problems of the pointwise approximation for Sikkema-Kantorovich operators are studied.
研究了Sikkema-Kantorovich算子的点态逼近问题,利用光滑模ω2φλ(f,t)(0≤λ≤1)和ω1(f,t)得到了逼近的强型正定理。
补充资料：凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子，类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A，称为凹的(concave)(更确切地，在K上u。凹的)，如果 l)对任何的非零元x任K，下面的不等式成立: a(x)u。(Ax续斑x)u。，这里u。是K的某个固定的非零元，以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。，al，月l>0，成立的x‘K，下面的关系成立二 A(tx))(l+，(x，t))tA(x)，0
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参考词条