• Title/Summary/Keyword: 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
    • The Pure and Applied Mathematics
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    • v.15 no.3
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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-MCSHANE-STIELTJES INTEGRAL

  • Park, Chun-Kee
    • Communications of the Korean Mathematical Society
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    • v.18 no.4
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    • pp.643-652
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    • 2003
  • In this paper we introduce the concepts of the Mc-Shane-Stieltjes integral and the Denjoy-McShane-Stieltjes integral for Banach-valued functions and give a characterization of the Mc-Shane-Stieltjes integrability and investigate some properties of the Denjoy-McShane-Stieltjes integral.

ON DENJOY-STIELTJES INTEGRAL

  • Park, Chun-Kee
    • Korean Journal of Mathematics
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    • v.9 no.2
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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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    • v.16 no.4
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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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