## Taiwanese Journal of Mathematics

### Kurzweil-Henstock Integration on Manifolds

Varayu Boonpogkrong

#### Abstract

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.

#### Article information

Source
Taiwanese J. Math., Volume 15, Number 2 (2011), 559-571.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500406221

Digital Object Identifier
doi:10.11650/twjm/1500406221

Mathematical Reviews number (MathSciNet)
MR2810168

Zentralblatt MATH identifier
1234.26020

Subjects
Primary: 26A39: Denjoy and Perron integrals, other special integrals

#### Citation

Boonpogkrong, Varayu. Kurzweil-Henstock Integration on Manifolds. Taiwanese J. Math. 15 (2011), no. 2, 559--571. doi:10.11650/twjm/1500406221. https://projecteuclid.org/euclid.twjm/1500406221

#### References

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• Lee Peng Yee, Lanzhou Lectures on Henstock integration, World Scientific, Singapore, 1989.
• Pang Tiangui, Partition of Unity and Integration, Honours Project, NUS, Singapore, 2004/2005.