singular function of bounded variation

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。

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。

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。

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。

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。

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

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

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。

On Approximation of the Abel Sums for Bounded Variation Functions and ω-type Monotonic Functions;

Abel 和对有界变差函数及ω-型单调函数的逼近

The Relations about Some Kinds of Series and Bounded Variations with Valued in Locally Convex Space;

几种有界变差函数等价性与级数收敛的关系

Degree of Approximation to Functions of Bounded Variation by Partial Sum of Tchebycheff-Fourier Series;

有界变差函数的Tchebycheff-Fourier级数的部分和的逼近度

Convergence of the Partial Sums of Wavelet Expansions of Functions of Bounded Variation

有界变差函数的小波级数的部分和的收敛性

In this paper, single-valued representation of set-valued function of bounded varia-tion is derived.

给出了集值有界变差函数的单值表示定理.

BV Functions in Heisenberg Groups and Free Discontinuity Problems;

Heisenberg群上的有界变差函数及其自由不连续问题

Estimate on rate of convergence of Szasz-Bézier Operaters for functions of bounded variation;

有界变差函数的Szasz-Bézier算子收敛阶的估计

On Approximation Rate of Two Sikkema-Bezier Type Operators for Bounded Variation Functions;

Sikkema-Bézier型算子对有界变差函数的点态逼近度

Research on Level Set Methods and the Space of Functions of Bounded Variation in Biomedical Image Processing;

生物医学图像处理中的有界变差函数空间与水平集方法研究

The Equivalent Properties about Some Kinds of Bounded Variations with Valued in Locally Convex Spaces

取值于局部凸空间中的几种有界变差函数的等价性

interval function of bounded variation

有界变差的区间函数

The Absolute Continuity and Bound Variation of Closed-convex-set-valued Function and Its Aumann Integral Representations;

紧凸集值函数的绝对连续和有界变差及其Aumann积分表示

Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities

广义变分不等式的广义间隙函数和误差界

The V_f(δ) of Fractal Interpolation Function and Series Expression;

分形插值函数的δ－变差及级数表示

There is a regular jump in the function.

函数值是有规则变动的。

The Continuous Dependence of Bounded-Variation Solutions of a Kind of Equation

一类方程Φ有界变差解对参数的连续依赖性

Continuous Dependence of Bounded Variation Solutions on Parameters for Discontinuous Systems

不连续系统有界变差解对参数的连续依赖性

The function is rather badly behaved.

该函数的变化过程是相当差的。