• 제목/요약/키워드: Henstock-Pettis integral

검색결과 4건 처리시간 0.092초

THE HENSTOCK-PETTIS INTEGRAL OF BANACH SPACE-VALUED FUNCTIONS

  • Park, Jae Myung;Lim, Jong Tae;Kim, Young Kuk
    • 충청수학회지
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    • 제19권3호
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    • pp.231-236
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    • 2006
  • In this paper, we study the Henstock-Pettis integral of Banach space-valued functions mapping an interval [0, 1] in R into a Banach space X. In particular, we show that a Henstock integrable function on [0, 1] is Henstock-Pettis integrable on [0, 1] and a Pettis integrable function is Henstock-Pettis integrable on [0, 1].

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CONVERGENCE THEOREM FOR KURZWEIL-HENSTOCK-PETTIS INTEGRABLE FUZZY MAPPINGS

  • Park, Chun-Kee
    • 충청수학회지
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    • 제23권2호
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    • pp.279-291
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    • 2010
  • In this paper, we introduce the Kurzweil-Henstock-Pettis integral of fuzzy mappings in Banach spaces in terms of the Kurzweil-Henstock-Pettis integral of set-valued mappings and obtain some properties of the Kurzweil-Henstock-Pettis integral of fuzzy mappings in Banach spaces and the convergence theorem for Kurzweil-Henstock-Pettis integrable fuzzy mappings.

ON HENSTOCK INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES

  • Oh, Mee Na;Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제17권3호
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    • pp.257-270
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    • 2009
  • In this paper we introduce the Henstock integral of fuzzy mappings in Banach spaces as a generalization of the Henstock integral of set-valued mappings and investigate some properties of it.

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