We study Riemann-Lebesgue integrability of a vector function relative to an arbitrary non-negative set function. We obtain some classical integral properties. Results regarding the continuity properties of the integral and relationships among Riemann-Lebesgue, Birkhoff simple and Gould integrabilities are also established.
Properties of the Riemann-Lebesgue integrability in the non-additive case
Domenico CandeloroMembro del Collaboration Group
;Anna Rita Sambucini
Membro del Collaboration Group
2020
Abstract
We study Riemann-Lebesgue integrability of a vector function relative to an arbitrary non-negative set function. We obtain some classical integral properties. Results regarding the continuity properties of the integral and relationships among Riemann-Lebesgue, Birkhoff simple and Gould integrabilities are also established.File in questo prodotto:
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