Convergence Theorems in Interval-Valued Riemann-Lebesgue Integrability

被引：9

作者：

Croitoru, Anca ^{[1
]}

Gavrilut, Alina ^{[1
]}

Iosif, Alina ^{[2
]}

Sambucini, Anna Rita ^{[3
]}

机构：

[1] Univ Alexandru Ioan Cuza, Fac Math, Bd Carol I,11, Iasi 700506, Romania

[2] Petr Gas Univ Ploiesti, Dept Comp Sci Informat Technol Math & Phys, Bd Bucuresti 39, Ploiesti 100680, Romania

[3] Univ Perugia, Dept Math & Comp Sci, 1 Via Vanvitelli, I-06123 Perugia, Italy

来源：

MATHEMATICS | 2022年 / 10卷 / 03期

关键词：

Riemann-Lebesgue integral; interval-valued (set) multifunction; non-additive set function; Lebesgue theorem; Fatou theorem; INTEGRATION;

D O I：

10.3390/math10030450

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：15

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