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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

The ap-Denjoy Integral of Banach-valued Functions

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.343-351
Park, Jae-Myung (Department of Mathematics, Chungnam National University)
Kim, Byung-Moo (Department of General Arts, Chungju National University)
Kim, Young-Kuk (Department of Mathematics Education, Seowon University)
Park, Jae-Myung, Kim, Byung-Moo, & Kim, Young-Kuk. (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

한국수학교육학회지시리즈B:순수및응용수학

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