Home >> Czechoslovak Mathematical Journal, Volume 54, Number 3

Riemann-Type Definition of the Improper Integrals

Author: Donatella Bongiorno

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

Publisher: Springer

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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: http://dx.doi.org/10.1007/s10587-004-6420-x

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

Publication date: 2004-09-01

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