Description of the limit set of Henstock-Kurzweil integral sums of vector-valued functions

被引：2
|
作者：
Caponetti, D. [1 ]
Di Piazza, L. [1 ]
Kadets, V. [2 ]
机构：
[1] Univ Palermo, Dept Math & Comp Sci, I-90123 Palermo, Italy
[2] Kharkiv VN Karazin Natl Univ, Dept Mech & Math, UA-61022 Kharkov, Ukraine
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 421卷 / 02期
关键词：
Henstock-Kurzweil integral; Limit set of integral sums; Multifunction; Aumann integral;
D O I：
10.1016/j.jmaa.2014.07.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f be a function defined on [0,1] and taking values in a Banach space X. We show that the limit set 1(HK)(f) of Henstock-Kurzweil integral sums is non-empty and convex when the function f has an integrable majorant and X is separable. In the same setting we give a complete description of the limit set. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：1151 / 1162
页数：12
相关论文
共 50 条
12345