Acknowledgement
Supported by : Korean Council for University Education
Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 21 Issue 1
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- Pages.79-89
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- 2008
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
THE INTEGRALS OF BANACH SPACE-VALUED FUNCTIONS
- Park, Jae Myung (Department of Mathematics Chungnam National University) ;
- Lee, Deok Ho (Department of Mathematics Education Kongju National University) ;
- Yoon, Ju Han (Department of Mathematics Education Chungbuk National University)
- Received : 2008.01.31
- Published : 2008.03.31
Abstract
In this paper, we define the ap-Henstock integral and the ap-Denjoy integral of Banach-valued functions, and we investigate some properties of these two integrals. In particular, we show that the ap-Henstock integral is equivalent to the ap-Denjoy integral.