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1)  singular function of bounded variation
有界变差奇异函数
2)  strongly bounded varition function
强有界变差函数
3)  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。
4)  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。
5)  bounded variation functin class
有界变差函数类
6)  function of bounded variation
有界变差函数
1.
The problems of approximation by Euler means of Fourier series for the derivable function and function of bounded variation are studied, and the degrees of approximation are estimated.
研究Fourier 级数的Euler 平均对可导函数及有界变差函数的逼近,估计了逼近
2.
In this paper three stage function of bounded variation in sequence space λ is defined, and two of its necessary and sufficient conditions are given.
将λ-二级有界变差函数推广至λ-三级有界变差函数,并给出了它的2个充分必要条
3.
The denition of function of bounded variation is firstly given and it is then proved that monotonous functions of some kind of discontinuity and Lipchitz functions are functions of bounded variation.
文中给出有界变差函数的定义,并证明至多有可去间断点的单调函数和满足利普希茨条件的函数都是有界变差函数;建立了有界变差函数的小波级数的部分和的收敛性与收敛速度,并得出至多有可去间断点的单调函数与满足利普希茨条件的函数的小波级数的部分和的收敛性和收敛速度的推论。
补充资料:有界

函数的有界性:

设函数f(x)的定义域为d,如果存在正数m,使得

|f(x)|<=m

对任一x∈d都成立,则函数f(x)在x上有界。

如何判断一个函数是否有界 就要看它是否无限趋近于一个常数,如是则有界,否则无界。

从上边趋近则有下界, 从下边趋过则有上界。

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