A new characterization of Riemann-integrable functions

被引：0

作者：

Zakharov V.K. ^{[1
]}

Seredinskii A.A. ^{[1
]}

机构：

[1] Moscow State University,

来源：

Journal of Mathematical Sciences | 2006年 / 139卷 / 4期

关键词：

Bounded Function; Full Measure; Discontinuity Point; Semicontinuous Function; Regularization Function;

D O I：

10.1007/s10958-006-0385-2

中图分类号：

学科分类号：

摘要：

In this paper, we describe Riemann-integrable functions with the help of a new class of uniform functions. This description allows us to uncover the "countable" nature of the relation between the space of Riemann-integrable functions and the space of continuous functions. The argumentation is performed for any given topological space T with limited Radon measure μ the support of which coincides with T. © 2006 Springer Science+Business Media, Inc.

引用

页码：6708 / 6714

页数：6

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