Geodesic
Riemann-type definition of the improper integrals
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 717-725.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
Classification : 26A36, 26A39
Keywords: McShane’s partition; Kurzweil-Henstock’s partition 
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     author = {Bongiorno, Donatella},
     title = {Riemann-type definition of the improper integrals},
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Bongiorno, Donatella. Riemann-type definition of the improper integrals. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 717-725. http://geodesic.mathdoc.fr/item/CMJ_2004__54_3_a13/