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

Park, Chun-Kee; Park, Chun-Kee; Oh, Mee-Na; Oh, Mee-Na

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P-ISSN3059-0604
E-ISSN3059-1309
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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: Theoretical Mathematics and Pedagogical Mathematics / 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
Oh, Mee-Na

Park,, C. , & Oh,, M. (2008). The Denjoy*-Stieltjes Extension of the Bochner, Dunford, Pettis and McShane Integrals, 15(3), 315-327.

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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

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Article Contents

Vol.15 No.3

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

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics