1) mean-square Henstock-Stieltjes integral
均方Henstock-Stieltjes积分
2) 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。
3) ap-Henstock-Stieltjes integral
ap-Henstock-Stieltjes积分
4) mean-square Henstock integration
均方Henstock积分
1.
At last the mean-square Henstock integration relationship of two of the fuzzy stochastic processes which almost everywhere equal to each other is discussed.
定义了一类模糊随机过程的均方Henstock积分,对这类积分的唯一性、区间可加性等基本性质进行了研究。
5) mean-square strong Henstock integrable
均方强Henstock积分
6) 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。
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