The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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THE AP-DENJOY INTEGRAL OF BANACH-VALUED FUNCTIONS

  • 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)
  • Published : 2008.08.31
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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.

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