• Title/Summary/Keyword: McShane integral

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THE DENJOY EXTENSION OF THE RIEMANN INTEGRAL

  • Park, Jae Myung;Kim, Soo Jin
    • Journal of the Chungcheong Mathematical Society
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    • v.9 no.1
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    • pp.101-106
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    • 1996

  • In this paper, we will consider the Denjoy-Riemann integral of functions mapping a closed interval into a Banach space. We will show that a Riemann integrable function on [a, b] is Denjoy-Riemann integrable on [a, b] and that a Denjoy-Riemann integrable function on [a, b] is Denjoy-McShane integrable on [a, b].

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