Convergence Theorems in Interval-Valued Riemann–Lebesgue Integrability
Anca Croitoru,
Alina Gavriluţ,
Alina Iosif,
Anna Rita Sambucini
Affiliations
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
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.
