• 제목/요약/키워드: Denjoy-Stieltjes integral

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THE $DENJOY_*$-STIELTJES EXTENSION OF THE BOCHNER, DUNFORD, PETTIS AND MCSHANE INTEGRALS

  • Park, Chun-Kee;Oh, Mee-Na
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제15권3호
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    • pp.315-327
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    • 2008
  • In this paper we introduce the concepts of $Denjoy_*$-Stieltjes-Dunford, $Denjoy_*$-Stieltjes-Pettis, $Denjoy_*$-Stieltjes-Bochner and $Denjoy_*$-McShane-Stieltjes integrals of Banach-valued functions using the $Denjoy_*$-Stieltjes integral of real-valued functions and investigate their properties.

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ON DENJOY-STIELTJES INTEGRAL

  • Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제9권2호
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    • pp.105-114
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    • 2001
  • In this paper we introduce the concepts of generalized bounded variation with respect to a strictly increasing function and Denjoy-Stieltjes integral of real-valued functions and then prove some properties of them.

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ON DENJOY*-STIELTJES INTEGRAL

  • Oh, Mee Na;Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제16권4호
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    • pp.499-509
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    • 2008
  • In this paper we introduce the concepts of the generalized bounded variation in the restricted sense with respect to a strictly increasing function and $Denjoy_*$-Stieltjes integral of real-valued functions and investigate their properties.

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