1) baskakov operators
Baskakov算子
1.
Using the moduli of smoothness w (?)λ 2 (f, t)w, direct and inverse approximation theorems with Jacobi weight of Baskakov operators is established; And the relation between derivatives of the operators and the smoothness of functions to be approximated is obtained.
本文利用加权光滑模ω_~2λ(f,t)ω给出了Baskakov算子加Jacobi权逼近的正逆定理;另外,研究了加权下Baskakov算子导数与所逼近函数光滑性之间的关系。
2.
In this paper we give the equivalence theorem on simultaneous approximation for combinations of Baskakov operators.
本文建立了Baskakov算子线性组合同时逼近的等价定
3.
By means of DitzianTotik moduli of rorder, the local and global characterization theorems for the derivatives of the Baskakov operators are investigated.
研究Baskakov算子导数的点态和整体定理,用Ditzian Totik光滑模刻画该算子导数的点态和整体定理。
2) Baskakov operator
Baskakov算子
1.
Simultaneous approximation by Baskakov operators;
Baskakov算子的同时逼近
2.
Pointwise direct and converse estimates for Baskakov operators;
Baskakov算子的点态正逆估计
3.
Two kinds of preserved porperty by modified Baskakov operator;
修正的广义Baskakov算子的两种保持性质
3) Baskakov-Durrmeyer operator
Baskakov-Durrmeyer算子
1.
Simultaneous approximation by Baskakov-Durrmeyer operator;
Baskakov-Durrmeyer算子同时逼近
2.
In this paper, by using the method of Bojanic,we gave an estimate on the rate of convergence of the Baskakov-Durrmeyer operator for the function of bounded variation on [0,∞) and proved that the estimate is essentially the best possible.
利用Bojanic方法来估计Baskakov-Durrmeyer算子对在[0,∞)有界变差函数的收敛速度,并且收敛速率是不可改进的。
4) Baskakov type operators
Baskakov型算子
1.
Using some results and methods of probability theory and Abel transformation,the paper has studied the approximation of a Baskakov type operators whose limits are Gamma operator for functions of bounded variation of order p,and the pointwise convergence theorem of these operstors are obtained.
运用概率论的一些方法和结论以及Abel变换,研究了一类极限为Gamma算子的Baskakov型算子对p次有界变差函数的逼近,得到了对该函数类的点态逼近度估计的逼近定理。
5) Baskakov-Kantorovich operators
Baskakov-Kantorovich算子
1.
Pointwise Approximation Properties for the Derivatives of Baskakov-Kantorovich Operators;
Baskakov-Kantorovich算子导数的点态逼近性质
2.
The relation between higher order derivatives of Baskakov-Kantorovich operators and the smoothness of the functions to be approximated is studied.
研究了Baskakov-Kantorovich算子高阶导数与所逼近函数光滑性之间的关系,通过该算子的导数引入新算子Kn,s(f,x),给出了这个新算子的线性组合的点态逼近定理。
6) Baskakov-Beta operators
Baskakov-Beta算子
1.
The Voronovskaja type expansion fomula of the modified Baskakov-Beta operators;
修正的Baskakov-Beta算子的Voronovskaja型渐近展开公式
2.
By using the probability theory,the pointwise approximations for bounded variation functions of the modified Baskakov-Beta operators are studied.
运用概率论的方法和结论,研究修正的Baskakov-Beta算子对有界变差函数的点态逼近。
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
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条