square integrable function

The approximation of integrable function f in different situations has different characteristics.

以[0,1]区间上可积函数的逼近度为基础,进一步探讨了区间[a,b]上积分与积分和的逼近度,即可积函数f对任意分法在不同情况下其逼近度有不同表现。

popularize that f1(x),…,fn(x) are all positive continuous functions in in the original proposition into that f1(x),…,fn(x) are all integrable functions in and give its strict theory proof.

本文将原命题中的f1(x),…,fn(x)是[0,1]上的正的连续函数推广到f1(x),…,fn(x)为[a,b]上的可积函数,并给出了严格的理论证明。

The paper gives an improvement on the problem of extremal value of mean value functionF(x)=1x-a∫~x_af(t)dtx∈(a,f(a)x=afor the integrable function f(x) in of the papers ,.

对文[1]、[2]中在[a,b]上的可积函数f(x)的平均值函数F(x)=1x-a∫xaf(t)dtx∈(a,b]f(a)x=a的极值问题提出了改进。

Henstock integrable function and staircase function;

Henstock可积函数与阶梯函数

HENSTOCK INTEGRAL AND ITS CLASS OF INTEGRABLE FUNCTION;

HENSTOCK积分及其可积函数类

The Essence of Riemann-Stieltjes integral Function

Riemann-Stieltjes可积函数的本质

The Space of Fuzzy Chquet Integrable Functions and Set-valued Fuzzy Integral;

模糊Choquet可积函数空间与集值模糊积分

Measure approximation on Mcshane integrable function;

关于Mcshane可积函数的测度逼近

A Note on the Eassy “Adding a kind of Integrable Function;

关于《补充一类可积函数》一文的注记

The Proof and Application to Integrable Function Approximation Quality

可积函数的逼近性质的证明及其应用

About Discontinuity Point of Reimann Integrable Function

关于Reimann可积函数的间断点

Conditions of Term by Term Integration Sequence of Integrable functions on Finite Interval;

有限区间上广义可积函数列逐项积分的条件

A Condition of Term by Term Integration Sequence of Integrable Functions on Infinite Interval;

无穷区间上可积函数列逐项积分的条件

A Necessary and Sufficient Condition for Riemannian Integrability of the Limit Funtion of a Sequence of Riemann Integrable Functions

黎曼可积函数序列的极限函数为黎曼可积的充要条件——黎曼积分号下取极限的充要条件

Completion of L~P(F,μ)

中间λ康托集上可积函数空间的完备性

The Barycentric Selection on Non-negative Lebesgue Integrable Function of Set-valued Map

基于集值映射的非负Lebesgue可积函数的重心选择

Piecewise Function,Integrability and Existence of Primitive Function

分段函数、函数的可积性与原函数存在性

Some Problems Concerning Function Inlegrability and Primitive Function Existence;

关于函数可积性与原函数存在性问题

A kind of Henstock ( but not Lebesgue ) integrable function;

一类Henstock可积而非Lebesgue可积的函数

The Uniform(R)Integrability of A Sequence of Equicontinuous Function;

等度连续的函数列的一致(R)可积性

The Lebesgue Integral on Monotone Sequence of Measurable Function;

单调可测函数序列的Lebesgue积分