6533b7cefe1ef96bd12571b0

RESEARCH PRODUCT

Riemann-Type Definition of the Improper Integrals

Donatella Bongiorno

subject

Statistics::TheoryMathematics::Functional AnalysisMathematics::Dynamical SystemsStatistics::ApplicationsGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsRiemann integralType (model theory)Lebesgue integrationMcShane's partitionRiemann hypothesissymbols.namesakeKurzweil-Henstock's partitionOrdinary differential equationImproper integralsymbolsMathematics

description

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.

https://doi.org/10.1007/s10587-004-6420-x