• Title/Summary/Keyword: McShane-Stieltjes integral

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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.

NOTES ON THE MCSHANE-STIELTJES INTEGRABILITY

  • Seung, Byong-In
    • The Pure and Applied Mathematics
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    • v.8 no.2
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    • pp.87-99
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    • 2001
  • In this paper, we define the Mcshane-Stieltjes integral for Banach-valued functions, and will investigate some of its properties and comparison with the Pettis 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 MCSHANE-STIELTJES INTEGRAL

  • Yoon, Ju Han;Eun, Gwang Sik;Lee, Young Chan
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.217-225
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    • 1997
  • In this paper, we define the McShane-Stieltjes integral for real-valued function and prove some of its properties.

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THE CONVERGENCE THEOREMS FOR THE McSHANE-STIELTJES INTEGRAL

  • Yoon, Ju-Han;Kim, Byung-Moo
    • The Pure and Applied Mathematics
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    • v.7 no.2
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    • pp.137-143
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    • 2000
  • In this paper, we define the uniformly sequence for the vector valued McShand-Stieltjes integrable functions and prove the dominated convergence theorem for the McShand-Stieltjes integrable functions.

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