Properties of the Riemann-Lebesgue integrability in the non-additive case
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🧮 math.FA
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propertiesriemann-lebesguefunctionintegrabilityintegralarbitrarybirkhoffcase
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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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