1) modified Baskakov type operators
修正的Baskakov型算子
1.
In 1994,Gapta intorduced modified Baskakov type operators L_n(f,x).
利用DitzianTotik光滑模ω2φ(f,t),对1994年Gapta引进的修正的Baskakov型算子证明了:当1
2) modified Baskakov operatos
修正的Baskakov算子
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 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。
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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