基本解释：反常可积函数
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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 FunctionRiemann-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
