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

Autor:	Candeloro, Domenico, Croitoru, Anca, Gavrilut, Alina, Iosif, Alina, Sambucini, Anna Rita
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis 28B20 28C15 49J53
Zdroj:	Rendiconti del Circolo Matematico di Palermo, May 16 2019
Druh dokumentu:	Working Paper
DOI:	10.1007/s12215-019-00419-y
Popis:	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. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.03993 Zobrazit plný text záznamu View this record from Arxiv