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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.15 No.3

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The Denjoy*-Stieltjes Extension of the Bochner, Dunford, Pettis and McShane Integrals

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2008, v.15 no.3, pp.315-327
Park, Chun-Kee
Oh, Mee-Na
Park,, C. , & Oh,, M. (2008). The Denjoy*-Stieltjes Extension of the Bochner, Dunford, Pettis and McShane Integrals. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 15(3), 315-327.

Abstract

In this paper we introduce the concepts of <TEX>$Denjoy_*$</TEX>-Stieltjes-Dunford, <TEX>$Denjoy_*$</TEX>-Stieltjes-Pettis, <TEX>$Denjoy_*$</TEX>-Stieltjes-Bochner and <TEX>$Denjoy_*$</TEX>-McShane-Stieltjes integrals of Banach-valued functions using the <TEX>$Denjoy_*$</TEX>-Stieltjes integral of real-valued functions and investigate their properties.

keywords
<tex> $Denjoy_*$</tex>-Stieltjes integral<tex> $Denjoy_*$</tex>-Stieltjes -Dunford integral<tex> $Denjoy_*$</tex>-Stieltjes-Pettis integral<tex> $Denjoy_*$</tex>-Stieltjes-Bochner integral<tex> $Denjoy_*$</tex>-McShane-Stieltjes integral

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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