Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

THE STRONG PERRON INTEGRAL

  • Kim, Byung-Moo (DRPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
  • Kim, Young-Kuk (DRPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY) ;
  • Park, Jae-Myung (DRPARTMENT OF MATHEMATICS, CHUNGNAM NATIONAL UNIVERSITY)
  • Published : 2003.02.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we study the strong Perron integral, and show that the strong Perron integral is equivalent to the McShane integral.

Keywords

References

  1. J. Austral. Math. Soc. (Series A) v.35 The Burkill approximately continuous integral P. S. Bullen https://doi.org/10.1017/S1446788700025738
  2. Real Analysis Exchange v.19 The descriptive definitions and properties of the AP-integral and their application to the problem of controlled convergence T. S. Chew;K. Liao
  3. Real Analysis Exchange v.23 Some comments on the McShane and Henstock integrals R. A. Gordon
  4. Amer. Math. Soc. The Integrals of Lebesque, Denjoy, Perron, and Henstock R. A. Gordon
  5. Czechoslovak Math. J. v.23 On multiplication of Perron integrable functions J. Kurzweil https://doi.org/10.1007/BF01593831
  6. Czechoslovak Math. J. v.46 Perron type integration on n-dimensional intervals as an extension of integration of step functions by strong equiconvergence J. Kurzweil;J. Jarnik
  7. Czechoslovak Math. J. v.50 The Denjoy extension of the Riemann and McShane integrals J. M. Park https://doi.org/10.1023/A:1022845929564
  8. J. Austral. Math. Soc. (Series A) v.20 Stieltjes type integrals A. M. Russell https://doi.org/10.1017/S1446788700016153
  9. Bull. Austral. Math. Soc. v.15 A Banach space of functions of generalized variation A. M. Russell https://doi.org/10.1017/S0004972700022863