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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 ap-Denjoy Integral of Banach-valued Functions

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.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. , 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: Theoretical Mathematics and Pedagogical Mathematics

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