충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제20권4호
  • /
  • Pages.543-550
  • /
  • 2007
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

A NOTE ON THE AP-DENJOY INTEGRAL

  • Park, Jae Myung (Department of Mathematics Chungnam National University) ;
  • Kim, Byung Moo (Department of General Arts Chungju National University) ;
  • Kim, Young Kuk (Department of Mathematics Education Seowon University)
  • 투고 : 2007.11.07
  • 발행 : 2007.12.31
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초록

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].

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