Korean Journal of Mathematics
- Volume 10 Issue 2
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- Pages.123-130
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- 2002
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
THE DENJOY-STIELTJES EXTENSION OF THE BOCHNER, DUNFORD AND PETTIS INTEGRALS
- Park, Chun-Kee (Department of Mathematics Kangwon National University)
- Received : 2002.07.25
- Published : 2002.10.21
Abstract
In this paper we introduce the concepts of Denjoy-Stieltjes-Dunford, Denjoy-Stieltjes-Pettis and Denjoy-Stieltjes-Bochner integrals of Banach-valued functions and then prove some properties of them.
Keywords
- Denjoy-Stieltjes integral;
- Denjoy-Stieltjes-Dunford integral;
- Denjoy-Stieltjes-Pettis integral;
- Denjoy-Stieltjes-Bochner integral