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http://dx.doi.org/10.14403/jcms.2013.26.3.625

THE RELATION BETWEEN HENSTOCK INTEGRAL AND HENSTOCK DELTA INTEGRAL ON TIME SCALES  

Park, Jae Myung (Department of Mathematics Chungnam National University)
Lee, Deok Ho (Department of Mathematics Education KongJu National University)
Yoon, Ju Han (Department of Mathematics Education Chungbuk National University)
Kim, Young Kuk (Department of Mathematics Education Seowon University)
Lim, Jong Tae (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.3, 2013 , pp. 625-630 More about this Journal
Abstract
In this paper, we define an extension $f^*:[a,b]{\rightarrow}\mathbb{R}$ of a function $f^*:[a,b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale $\mathbb{T}$ and show that $f$ is Henstock delta integrable on $[a,b]_{\mathbb{T}}$ if and only if $f^*$ is Henstock integrable on $[a, b]$.
Keywords
time scales; Henstock delta integral; ${\triangle}$-gauge;
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