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

Domenico Candeloro,Anca Croitoru,Alina Gavriluţ,Alina Iosif,Anna Rita Sambucini

Rendiconti del Circolo Matematico di Palermo Series 2（2019）

引用 4|浏览0

暂无评分

摘要

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.

查看译文

关键词

Riemann–Lebesgue integral,Birkhoff simple integral,Gould integral,Non-negative set function,Monotone measure

AI 理解论文

溯源树

样例

生成溯源树，研究论文发展脉络

Chat Paper

正在生成论文摘要