JOURNAL BROWSE
Search
Advanced SearchSearch Tips
THE STRONG PERRON INTEGRAL IN THE n-DIMENSIONAL SPACE ℝn
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
THE STRONG PERRON INTEGRAL IN THE n-DIMENSIONAL SPACE ℝn
PARK, JAE-MYUNG; KIM, BYUNG-MOO; LEE, DEUK-HO;
  PDF(new window)
 Abstract
In this paper, we introduce the SP-integral and the defined on an interval in the n-dimensional Euclidean space . We also investigate the relationship between these two integrals.
 Keywords
strong derivative;strong major function;strong minor function;strong Perron integral;
 Language
English
 Cited by
1.
THE STRONG PERRON INTEGRAL IN ℝn REVISITED,;;

대한수학회논문집, 2007. vol.22. 1, pp.15-18 crossref(new window)
 References
1.
B. Bongiorno, L. Di Piazza, and V. Skvortsov, On continuous major and mi- nor functions for the n-dimensional Perron integral, Real Anal. Exchange 22 (1996/1997), no. 1, 318-327

2.
B. Bongiorno, On the n-dimensional Perron integral defined by ordinary derivatives, Real Anal. Exchange 26 (2000/2001), no. 1, 371-380

3.
R. A. Gordon, The Integrals of Lebesgue, Denjoy, Perron and Henstock, Amer. Math. Soc., 1994

4.
J. Kurzweil and J. Jarnik, Equivalent definitions of regular generalized Perron integral, Czechoslovak Math. J. 42 (1992), 365-378

5.
J. Kurzweil, Differentiability and integrability in n dimensions with respect to $\alpha$-regular intervals, Results Math. 21 (1992), no. 1-2, 138-151 crossref(new window)

6.
M. P. Navarro and V. A. Skvortsov, On n-dimensional Perron integral, South- east Asian Bull. Math. 20 (1997), no. 2, 111-116

7.
K. M. Ostaszewski, Henstock Integration in the Plane, vol. 353, Mem. Amer. Math. Soc., 1986

8.
Jae Myung Park, The Denjoy extension of the Riemann and McShane integrals, Czechoslovak Math. J. 50 (2000), no. 125, 615-625 crossref(new window)

9.
S. Saks, Theory of the Integral, Dover, New York, 1964

10.
V. A. Skvortsov, Continuity of $\delta$-variation and construction of continuous major and minor functions for the Perron integral, Real Anal. Exchange 21 (1995/1996), no. 1, 270-277