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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.15 No.3

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

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2008, v.15 no.3, pp.315-327
Park, Chun-Kee (Department of Mathematics, Kangwon National University)
Oh, Mee-Na (Department of Mathematics, Kangwon National University)
Park, Chun-Kee, & Oh, Mee-Na. (2008). THE <TEX>$DENJOY_*$</TEX>-STIELTJES EXTENSION OF THE BOCHNER, DUNFORD, PETTIS AND MCSHANE INTEGRALS, 15(3), 315-327.

Abstract

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.

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

한국수학교육학회지시리즈B:순수및응용수학

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