Riemann-Type Definition of the Improper Integrals

Author: Donatella Bongiorno¹

Source: Czechoslovak Mathematical Journal, Volume 54, Number 3, September 2004 , pp. 717-725(9)

Publisher: Springer

Abstract:

Riemann-type definitions of the Riemann improper integral and of the Lebesgue improper integral are obtained from McShane's definition of the Lebesgue integral by imposing a Kurzweil-Henstock's condition on McShane's partitions.

Keywords: McShane's partition; Kurzweil-Henstock's partition

Document Type: Research article

DOI: 10.1007/s10587-004-6420-x

Affiliations: 1: Department of Mathematics, University of Palermo, Viale delle Scienze, Palermo, Italy, Email: donatell@math.unipa.it

Links for this article

http://www.ingentaconnect.com/klu/cmaj/2004/00000054/00000003/00426420
http://openurl.ingenta.com/content?genre=article&issn=0011-4642&volume=54&issue=3&spage=717&epage=725
http://dx.doi.org/10.1007/s10587-004-6420-x