KURZWEIL-HENSTOCK INTEGRATION ON MANIFOLDS

被引:3
|
作者
Boonpogkrong, Varayu [1 ,2 ]
机构
[1] Prince Songkla Univ, Dept Math, Hat Yai 90110, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 02期
关键词
The K-H integral; Partition of unity; Manifolds;
D O I
10.11650/twjm/1500406221
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we give an alternative proof that the Kurzweil-Henstock integral using partition of unity is equivalent to the Lebesgue integral in the n-dimensional Euclidean space. We also define and discuss the Kurzweil-Henstock integral on manifolds.
引用
收藏
页码:559 / 571
页数:13
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