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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 ap-Denjoy Integral of Banach-valued Functions

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.343-351
Park, Jae-Myung
Kim, Byung-Moo
Kim, Young-Kuk
Park,, J. , Kim,, B. , & Kim,, Y. (2008). The ap-Denjoy Integral of Banach-valued Functions. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 15(3), 343-351.

Abstract

In this paper, we define the Denjoy and ap-Denjoy integrals of Banach-valued functions, and we investigate some properties of these two integrals. In particular, we show that a Denjoy integrable function is ap-Denjoy integrable.

keywords
Denjoy integral, approximate Lusin function, ap-Denjoy integral

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

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