Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 10 Issue 1
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- Pages.29-36
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- 1997
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
THE EQUIVALENCE OF PERRON, HENSTOCK AND VARIATIONAL STIELTJES INTEGRALS
- Kim, Yung Jin (DEPARTMENT OF MATHEMATICS CHUNGBUK NATIONAL UNIVERSITY)
- Received : 1997.06.24
- Published : 1997.07.31
Abstract
In this paper, we verify that Perron, Henstock and variational Stieltjes integrals are all equivalent. That is, a function which is integrable in one sense is integrable in the other sense and their values are all equal.