1) periodic three level bounded variation function
三级周期有界变差函数
1.
The property of approximation of abstract periodic three level bounded variation functions is discussed.
讨论抽象三级周期有界变差函数的逼近性质,证明x(t)∈V32π依多项式的逼近阶并且证明x(t)∈V32π的一个充分必要条件。
2.
In chapter 2, we define the abstract periodic three level bounded variation functions with range in a Banach space ?and study the property on approximating it by trigonometric polynomials with abstract coefficients from E.
其中第二章定义并研究了实Banach空间取值的抽象三级周期有界变差函数用抽象系数三角多项式逼近的性质。
2) k th order bounded variation function
k级有界变差函数
1.
In this paper, the Uniform convergence of the weak k th order bounded variation functions on the sequence spaces were investigated.
本文在已有研究结果的基础上 ,讨论了叙列空间上弱 k级有界变差函数的一致收敛问题 ,得到了若干有关一致收敛的等价条件。
3) Kth order bounded variation function space
K级有界变差函数空间
4) strongly bounded varition function
强有界变差函数
5) 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。
6) bounded variation
有界变差函数
1.
There by the concepts such as bounded variation,the Riemann-stieltjes integral are extended to the locally convex space.
把向量值正则函数推广到了局部凸空间,得到了局部凸空间中向量值正则函数在s(0,1)的有界性,同时,把有界变差函数及Riemann-Stieltjes积分推广到了局部凸空间。
2.
The consepts such as bounded variation,the Riemann-Stieltjes integrl are extended to the locally convex space.
把实变函数中的有界变差函数推广到了局部凸空间中,同时,把Riemann-Stieltjes积分推广到了局部凸空间中向量值函数,得到了局部凸空间中向量值函数Riemann-Stieltjes积分的一些非常有价值的性质。
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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