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

页码：17 / 24

页数：8

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