• Journal of the Chungcheong Mathematical Society
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• v.17 no.1
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• pp.103-110
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• 2004

In this paper, we define the ap-Denjoy integral and investigate some properties of the ap-Denjoy integral.

• The Pure and Applied Mathematics
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• v.15 no.3
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• pp.343-351
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• 2008

In this paper, we define the Denjoy and ap-Denjoy integrals of Banach-valued functions, and we investigate some properties of these two integrals. In particular, we show that a Denjoy integrable function is ap-Denjoy integrable.

• Journal of the Chungcheong Mathematical Society
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• v.20 no.4
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• pp.543-550
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• 2007

In this paper, we define the ap-Denjoy integral and investigate some properties od the ap-Denjoy integral. In particular, we show that a function f : [a,b]${\rightarrow}\mathbb{R}$ is ap-Denjoy integrable on [a,b] if and only if there exists an $ACG_s$ function F on [a,b] such that $F^{\prime}_{ap}=f$ almost everywhere on [a,b].