1) Baskakov-Durrmeyer operators
Baskakov-Durrmeyer型算子
1.
The purpose of this paper is to derive the direct and converse results of simultaneous approximation of JacobiAlweighted Baskakov-Durrmeyer operators by means of the equlvalenTce of Ditzian-Totik modulus and modified K-functionals.
利用Ditzian－Totik光滑模并改变K泛函的等价性导出Baskakov－Durrmeyer型算子的带Jacobi权同时逼近的正逆结果。
2) 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。
3) 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。
4) Baskakov-type operators
Baskakov型算子
1.
Using the equivalence relation between K-functional and moduli of smoothness , the Stechkin-Marchaud type inequality of weighted approximation for Baskakov-type operators are established.
本文利用K-泛函与光滑模的等价性,研究了Baskakov型算子加Jacobi权逼近下的Stechkin-Marchaud不等式,并得到了Baskakov型算子关于ω(?)2(f,t)ω的逆结果。
5) Lupas-Baskakov-Type operators
Lupas-Baskakov型算子
6) Baskakov-Durrmeyer type operators
Baskakor-Durrmeyer型算子
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