1) Henstock-Stieltjes integral
Henstock-Stieltjes积分
1.
In this paper, we introduce and investigate the Henstock-Stieltjes integral for Banach-valued function with respect to a real valued function defined on closed intervals of the real line.
本文引入闭区间上实值函数关于向量值函数的Henstock-Stieltjes积分,研究了Henstock- Stieltjes积分的性质,给出了Henstock-Stieltjes积分可积的充要条件,并得到了Henstock- Stieltjes积分的收敛定理,最后证明了向量值函数在闭区间上关于实值右连续函数是Pettis可积,那么必为Henstock-Stieltjes可积。
2) ap-Henstock-Stieltjes integral
ap-Henstock-Stieltjes积分
3) mean-square Henstock-Stieltjes integral
均方Henstock-Stieltjes积分
4) strong Henstock integral
强Henstock积分
1.
The strong Henstock integral and the Henstock integral for Banach-space-valued functions;
Banach-值函数的强Henstock积分与Henstock积分
2.
Finally,it is characterized by using the strong Henstock integral of fuzzy-number-valued functions,and the descriptive definition of the strong Henstock integral for the fuzzy-number-valued functions is obtained.
给出了模糊数值函数的Denjoy型积分定义,并讨论了其性质;利用模糊数值函数的强Henstock积分对其进行刻划,从而给出了模糊数值函数的强Henstock可积的描述性定义,完善了模糊数值函数的积分理论。
5) Henstock-Kurzweil integral
Henstock-Kurzweil积分
1.
With the aid of Henstock-Kurzweil integral which encompasses the Lebesgue integral,generalized Carathéodory system x =f(t,x)is investigated and the existence theorem of the bounded variation solution for this system is obtained.
利用比Lebesgue积分更广泛的Henstock-Kurzweil积分,对广义Carathéodory系统x'=f(t,x)进行了研究,得到了该系统有界变差解的存在性定理。
6) Henstock integral
Henstock积分
1.
The Henstock integral of both-branch-fuzzy-number-valued functions;
双枝模糊数值函数Henstock积分
2.
About Henstock Integral;
关于Henstock积分
3.
Convergence theorems of Henstock integral for Banach-valued functions;
Banach-值函数Henstock积分的收敛定理
补充资料：Lebesgue-Stieltjes积分
Lebesgue-Stieltjes积分
Lebesgue-Stidtjes integral
1划比s粤犯一Sdd扣积分【h加s邵犯~S创娜如魄阳l;Jle6-era一Clll~ca“。Te印“l I月犯s脾积分(玩bes胖加比g几。)的一种推广.对于非负测度料“玫besgue一Stieltjes积分”一词用于当X一R”，;为非玫城胖测度的情形;于是积分lxfd;像一般情形下玫besg优积分一样定义，若拜是变号的，则拜=拜:一拼2，这里拼:，拼2均为非负测度，而玫besgue一Stieltjes积分定义为 夕““一夕“。l一夕‘，2，只要右边两个积分存在.对X二R’情形，召的可数可加性与有界性条件等价于拼由某个有界变差函数中生成.此时玩比591姆一Stie均es积分可写为 b 丁，“，的形式.关于离散测度的玫besg姆.Stiel幼es积分实际上是一数项级数.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条