THE STRONG PERRON INTEGRAL IN ℝn REVISITED

Title & Authors
THE STRONG PERRON INTEGRAL IN ℝn REVISITED
Skvortsov Valentin A.; Sworowski Piotr;

Abstract
It is shown that $\small{\alpha-regular}$ McShane and strong Perron integrals considered in [1] are equivalent to the usual McShane integral.
Keywords
McShane integral;Perron integral;
Language
English
Cited by
References
1.
J. M. Park, B. M. Kim, and D. H. Lee, The strong Perron integral in the n-dimensional space $R^n$, Commun. Korean Math. Soc. 20 (2005), no. 2, 291-297

2.
S. Saks, Theory of the integral, Dover, New York, 1964

3.
V. A. Skvortsov and P. Sworowski, On McShane-type integrals with respect to some derivation bases, Mathematica Bohemica 131 (2006), no. 4, 365-378