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1)  generalized Kantorovich operators
推广的Kantorovich算子
1.
In this paper,a kind of generalized Kantorovich operators Kn(f,Sn;x) were introduced and the convergence of these operators was discussed,then the degree of approximation of these operators in Orlicz spaces was obtained.
构造了一类推广的Kantorovich算子Kn(f,Sn;x),讨论了Kn(f,Sn;x)在Orlicz空间内的收敛性,并给出Kn(f,Sn;x)在Orlicz空间内的逼近阶的估计。
2)  generalized Sikkema-Kantorovich operators
推广的Sikkema-Kantorovich算子
3)  generalized Stancu-Kantorovich type operators
推广的Stancu-Kantorovich型算子
1.
The approximation estimation of generalized Stancu-Kantorovich type operators is studied in Orlicz spaces and the direct theorem is obtained.
研究了推广的Stancu-Kantorovich型算子在Orlicz空间的逼近,得到了逼近的正定理。
4)  weighted Kantorovich operator
加权的Kantorovich算子
1.
The weighted Kantorovich operator.
对于Kantorovich算子,我们通过加权方法进行改进,这种加权的Kantorovich算子反映出函数在每个区间[k+1/n+1,k+1/n+1]内各处的不同作用与影响,使得只改变相应的权函数就可以得到不同的逼近效果。
5)  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。
6)  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
补充资料:推广
1.推衍扩大。 2.谓扩大施行或作用范围。
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