1) generalized Roper-Suffridge extension operator
推广的Roper-Suffridge算子
1.
This paper,by the definition of almost spirallike mappings of type β(β∈(-π2,π2)) and order α(α∈[0,1)),discusses the generalized Roper-Suffridge extension operator which preserves almost spirallikeness of type β and order α on Reinhardt domains in ■n and the unit ball in complex Hilbert spaces,respectively.
由α次的殆β型螺形映照的定义,分别给出推广的Roper-Suffridge算子在Reinhardt域上和复Hilbert空间中的单位球上保持α次的殆β型螺形性。
3) Roper-Suffridge extension operator
Roper-Suffridge扩张算子
4) generalized Kantorovic operators
推广的Kantorovic型算子
1.
In this paper,the problems of convergence and approximation degree by a kind of generalized Kantorovic operators P*n(f,x) are studied.
通过研究一类推广的Kantorovic型算子Pn*(f,x)对不连续函数的逼近,得到了有界Lebeague可积函数的第一类间断点在区间[0,1]上收敛的充分条件,并给出了有界变差函数收敛度的估计式。
2.
In this paper,a kind of generalized Kantorovic operators are constructed,the convergence of these operators in the space Lp (1<p<+∞) is studied and the estimate of the degree of approximation is obtained.
构造了一类推广的Kantorovic型算子,讨论了它们在Lp空间(1
5) generalized Stancu operator
推广的Stancu算子
6) generalized Sikkema-Kantorovich operators
推广的Sikkema-Kantorovich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