Kurzweil integral for Riesz space-valued functions: Uniform convergence theorem

被引：0
|
作者：
Monteiro, G. A. [1 ]
Fernandez, R. [2 ]
机构：
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil
来源：
MATHEMATICA SLOVACA | 2012年 / 62卷 / 01期
关键词：
Kurzweil integral; uniform convergence; (D)-sequences;
D O I：
10.2478/s12175-011-0067-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our objective here is to prove that the uniform convergence of a sequence of Kurzweil integrable functions implies the convergence of the sequence formed by its corresponding integrals.
引用
收藏
页码：17 / 24
页数：8
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