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arXiv · 1905.03993

Properties of the Riemann-Lebesgue integrability in the non-additive case

Domenico Candeloro·Anca Croitoru·Alina Gavrilut·Alina Iosif·Anna Rita Sambucini
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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.

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Domenico Candeloro, Anca Croitoru, Alina Gavrilut, Alina Iosif, Anna Rita Sambucini. 2019-05-10. Properties of the Riemann-Lebesgue integrability in the non-additive case. https://doi.org/10.1007/s12215-019-00419-y

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