Convergence Theorems in Interval-Valued Riemann–Lebesgue Integrability

Anca Croitoru, Alina Gavriluţ, Alina Iosif and Anna Rita Sambucini
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Anca Croitoru: Faculty of Mathematics, University “Alexandru Ioan Cuza”, Bd. Carol I, No. 11, 700506 Jassy, Romania
Alina Gavriluţ: Faculty of Mathematics, University “Alexandru Ioan Cuza”, Bd. Carol I, No. 11, 700506 Jassy, Romania
Alina Iosif: Department of Computer Science, Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploiesti, Bd. Bucureşti, No. 39, 100680 Ploiesti, Romania
Anna Rita Sambucini: Department of Mathematics and Computer Sciences, University of Perugia, 1, Via Vanvitelli, 06123 Perugia, Italy

Mathematics, 2022, vol. 10, issue 3, 1-15

Abstract: We provide some limit theorems for sequences of Riemann–Lebesgue integrable functions. More precisely, Lebesgue-type convergence and Fatou theorems are established. Then, these results are extended to the case of Riemann–Lebesgue integrable interval-valued multifunctions.

Keywords: Riemann–Lebesgue integral; interval-valued (set) multifunction; non-additive set function; Lebesgue theorem; Fatou theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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