有界变差函数

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。

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 .

研究了[a，b]上的有界变差函数与[a，b]上的可微函数之间的关系，得出了有界变差函数是准可微函数；

The relation between bounded variation function and differentiable function is discussed .

关于B－D算子的导数对有界变差函数的逼近

On the approximation of B-D operator 's derivative for the functions of bounded variation

广义有界变差函数及其对Fourier级数的应用

Functions of Generalized Bounded Variation and Its Applications to Fourier Series Theory

叙列空间上K级弱有界变差函数的一致收敛性

The uniform convergence of the kth order weak bounded variation functions on the sequence spaces

Fourier级数的（K，φ）平均对有界变差函数的点态逼近度

The Pointwise Approximation Degree of the ( K , φ) Means of the Fourier Series to the Functions of Bounded Variation

Banach公式和有界变差函数

Banach formulas and functions of bounded variation

K级有界变差函数的Helly选择定理

Helly Selection Theorem for Bounded kth Variation Functions

Heisenberg群上的有界变差函数及其自由不连续问题

BV Functions in Heisenberg Groups and Free Discontinuity Problems

B-D算子对有界变差函数的收敛速度

On the rate of convergence of the bernstein & durrmeyer operator for functions of bounded variation

小波分析比Fourier分析能更稀疏地表示一维分段光滑或者有界变差函数，而新的多尺度分析方法在高维空间中对多变量函数的稀疏表示具有较小波分析更好的逼近性能。

Wavelet analysis can give more " sparse " expression than Fourier analysis in piecewise smooth signal or bounded variance function . New multiscale methods can give better performance in approximating multivariate function in high-dimension space than wavelet analysis .

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。

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.

Abel-Poisson算子逼近有界变差函数

Approximation of Abel-Poisson Operators to the Functions of Bounded Variation

研究了Bernstein算子的任意阶导数对有界变差函数的逼近，给出了点态收敛阶并证明了本文的结果是不能改进的。

Having studied the approximation by the free order derivatives of Bernstein operators to the functions with derivatives bounded variation in the close interval 0 to 1 , the degree of pointwise convergence is given and the deduction proves that this results cannot be further improved .

本文将Φ有界变差函数理论与Caratheodory系统结合起来，讨论了Caratheodory系统的Φ有界变差解。

In this paper , we discuss the bounded Φ - variation solutions of the Caratheodory system by combining the theories of function of bounded Φ - variation and the Caratheodory system .

本文研究了MeyerKonigZeller算子的导数对[0,1]上导函数为有界变差函数的逼近，给出了点态收敛阶。

In this paper , the approximation to the functions that its derivatives is bound - ed variation in [ 0 , 1 ] by the derivatives of Meyer-Konig-Zeller operators is studed , and the degree of pointwise convergence is given .

得到了第二类Chebyshev-Fourier级数部分和对[-1,1]上有界变差函数点态逼近估计的一个定理，并把这个定理应用于单调型连续函数。

A theorem on estimate of pointwise approximation of bounded variation functions defined on by the partial sums of the second Chebyshev-Fourier series is obtained , and this theorem to monotonic type continuous functions is applied .

有界变差函数的U&Fourier级数在不连续点的发散性

Divergence of U-Fourier Series of B. V. Function at Discontinuous point

叙列空间上的∧&有界变差函数

The ∧ - bounded variation functions on sequence spaces

广义有界变差函数空间上的拓扑结构

Topological Structure On Functions Spaces of Generalized Bounded Variation

序列空间λ-三级有界变差函数及其特征

Three Stage Functions of Bounded Variation in Sequence Space λ and Their Characteristics

有界变差函数的一个性质及应用

A property of bounded variation function with its application

有界变差函数的小波级数的部分和的收敛性

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

抽象三级有界变差函数的运算

Operation of Abstract Three Level Bounded Variation Functions

实值有界变差函数的一些性质

Some Properties on Bounded Variation Function of Real-valued

正线性算子对无穷区间上有界变差函数的点态逼近度

Pointwise Approximation for Functions of Bounded Variation on Infinite Interval by Positive Linear Operators

有界变差函数的逼近情况成为本文结果的特例。

Our result includes the approximation of functions of bounded variation as a special case .

给出了集值有界变差函数的单值表示定理。

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

取值于局部凸空间中的几种有界变差函数的等价性

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

本文分为四章，系统地研究各类概率型算子列（族）关于连续函数、可微函数、有界变差函数、绝对连续函数等各种函数类的逼近特征性质；

This paper study the approximation characteristic of the various operators of probabilistic type for continuous functions , differentiable functions , functions of bounded variation and absolutely continuous functions ;