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.
BONGIORNO D (2004). Riemann-type definition of the improper integrals. CZECHOSLOVAK MATHEMATICAL JOURNAL, 54(3), 717-725 [10.1007/s10587-004-6420-x].
Riemann-type definition of the improper integrals
BONGIORNO, Donatella
2004-01-01
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.
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