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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (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. 한국수학교육학회지시리즈B:순수및응용수학, 15(3), 315-327.

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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

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논문 상세

Vol.15 No.3

THE <TEX>$DENJOY_*$</TEX>-STIELTJES EXTENSION OF THE BOCHNER, DUNFORD, PETTIS AND MCSHANE INTEGRALS

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학