VARIATIONAL MEASURE WITH RESPECT TO MEASURABLE GAUGES

被引：1

作者：

Singh, Narinder ^{[1
]}

Kainth, Surinder Pal Singh ^{[1
]}

机构：

[1] Panjab Univ, Dept Math, Chandigarh 160014, India

来源：

REAL ANALYSIS EXCHANGE | 2021年 / 46卷 / 01期

关键词：

Henstock-Kurzweil integral; Variational measure; Measurable gauges; HAKES THEOREM; HENSTOCK; INTEGRATION; MCSHANE;

D O I：

10.14321/realanalexch.46.1.0247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define variational measure with respect to measurable gauges and explore its properties. Further we establish that for continuous additive interval functions, it agrees with the usual variational measure on measurable sets.

引用

页码：247 / 260

页数：14