1) p-weak bounded variation function
p-弱有界变差函数
2) p-bounded variation function
p-有界变差函数
3) functions of bounded variation of order p
P次有界变差函数
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) Kth order weak bounded variation function
叙列空间上的K级弱有界变差函数
5) strongly bounded varition function
强有界变差函数
6) bounded variation function
有界变差函数
1.
It is found that the monotone sequence is colsely related to it,and very similar with the bounded variation functions,and reach the conclusion as follows: the class of bounded sequence the class of convergencal sequence the bounded variation sequence the bounded monotone sequence.
本文主要对囿变数列的特征作一些探讨,我们发现:它与单调数列关系密切,而且与有界变差函数十分类似,并得出如下关系:有界数列类收敛数列类囿变数列单调有界数列。
2.
In this paper,we give the relation between the class H~ω of function and the class of bounded variation function,and generalize the results of Torriani.
给出函数类Hω和有界变差函数类BV之间的关系,推广了Torriani的结果。
3.
We study the approximation of Szasz-Bézier Operaters within [0,∞) for functions of bounded variation function f,and obtain an accurate estimate on the rate of convergence of this type.
对有界变差函数f的Szasz-Bézier算子在区间[0,∞)上的收敛阶进行估计。
补充资料：有界变差函数
| 有界变差函数 bounded variation，function of 定义在区间[a，b]上，并能表为两个单调增函数之差的实值函数。属常用的函数类，它有许多好的性质，例如：有界变差函数必为有界函数；两个有界变差函数的和、差、积仍为有界变差函数；有界变差函数在[a，b]上黎曼可积；有界变差函数在[a，b]上几乎处处可导，导函数在[a，b]上勒贝格可积。此外还有，平面上由y=f(x)表示的曲线C可求长的充分必要条件是f为有界变差函数。应注意的是，连续函数不一定为有界变差函数。例如：  。 |
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参考词条