Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics
Online ISSN : 1883-4345
Print ISSN : 0579-3068
ISSN-L : 0579-3068
Remarks on the Henstock Integral of Stieltjes Type
Yoto KUBOTA
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1985 Volume 17 Pages 25-29

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Abstract
Let f:[a, b]→ R be bounded and g:[a, b]→ R be of bounded variation.It is shown that f is Henstock integrable with respect to g on [a, b] if and only if f is Young refinement integrable with respect g on [a, b], and both integrals have the same value.Some relations to the mean Stieltjes integral will also be given.
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© Department of Mathematics, Faculty of Science, Ibaraki University
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