Browse > Article
http://dx.doi.org/10.4134/BKMS.2003.40.1.077

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 77-83 More about this Journal
Abstract
In this paper, we study the strong Perron integral, and show that the strong Perron integral is equivalent to the McShane integral.
Keywords
strong derivative; strong major function; strong minor function; strong perron integral;
Citations & Related Records
연도 인용수 순위
  • Reference
1 The Burkill approximately continuous integral /
[ P. S. Bullen ] / J. Austral. Math. Soc. (Series A)   DOI
2 The Integrals of Lebesque, Denjoy, Perron, and Henstock /
[ R. A. Gordon ] / Amer. Math. Soc.
3 The descriptive definitions and properties of the AP-integral and their application to the problem of controlled convergence /
[ T. S. Chew;K. Liao ] / Real Analysis Exchange
4 On multiplication of Perron integrable functions /
[ J. Kurzweil ] / Czechoslovak Math. J.   DOI   ScienceOn
5 The Denjoy extension of the Riemann and McShane integrals /
[ J. M. Park ] / Czechoslovak Math. J.   DOI
6 Some comments on the McShane and Henstock integrals /
[ R. A. Gordon ] / Real Analysis Exchange
7 Perron type integration on n-dimensional intervals as an extension of integration of step functions by strong equiconvergence /
[ J. Kurzweil;J. Jarnik ] / Czechoslovak Math. J.
8 A Banach space of functions of generalized variation /
[ A. M. Russell ] / Bull. Austral. Math. Soc.   DOI
9 Stieltjes type integrals /
[ A. M. Russell ] / J. Austral. Math. Soc. (Series A)   DOI