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C-integral and Denjoy-C integral

Dafang Zhao|Guoju Ye
대한수학회 (The Korean Mathematical Society)|2007.01|대한수학회논문집 (Communications of the KMS)|제22권 제1호|pp. 27-39

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Abstract

In this paper, we dene and study the C-integral of functionsmapping an interval [a,b] into a Banach space X and discuss the relationsamong Henstock integral, C-integral and McShane integral. We also studythe Denjoy extension of the C-integral.

참고문헌 (13)

  1. "Un nvovo interale il problema dell primitive", 51(2), pp.299~313 (1996)
  2. "A constructive minimal integral whichincludes Lebesgue integrable functions and derivatives", 62(1), pp.117~126 (2000)
  3. "Denjoy-type integrals of Banach-valuedfunctions", 13(2), pp.307~316 (1998)
  4. "The Henstock and McShane integrals of vector-valued functions", illi(isj) (1994)
  5. "The McShane, PU and Henstock integrals of Banach valued functions", 52(127), pp.609~633 (2002)
  6. "On the integration of vector-valued functions", illi(is j) (1994)
  7. "The Denjoy extension of the Bochner" (1989)
  8. "The General Theory of Integration" (1991), Oxford University Press
  9. "On Denjoy-McShane-Stieltjes integral", 18(4), pp.643~652 (2003)
  10. "The Denjoy extension of the Riemann and McShane integrals", 50(125), pp.615~625 (2000)
  11. "A Riemann-type minimal integral for the classical problem of primitives", 34, pp.143~153 (2002)
  12. "Topics in Banach space integration" (2005), World Scientic
  13. "Lanzhou Lectures on Henstock Integration" (1989)

관련 논문AI추천

On Denjoy-McShane-Stieltjes integralDenjoy-McShane-Stieltjes integral대한수학회 · 대한수학회논문집2003 · 제18권 제4호Some properties of the ap-Denjoy Integral김영국, 박재명, 윤주한대한수학회 · 대한수학회보2005 · 제42권 제3호The strong Perron integral김영국, Byung Moo Kim, Jae Myung Park대한수학회 · 대한수학회보2003 · 제40권 제1호ON DENJOY*-STIELTJES INTEGRAL박춘기, 오미나강원경기수학회 · 한국수학논문집2008 · 제16권 제4호ON C-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONSDafang Zhao, Guokju Ye, Xiaojie Zhang한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제2호The ap-Denjoy Integral of Banach-valued Functions김병무, 김영국, 박재명한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호

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