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CONVERGENCE THEOREMS FOR THE HENSTOCK DELTA INTEGRAL ON TIME SCALES

  • Park, Jae Myung (Department of Mathematics Chungnam National University) ;
  • Kim, Young Kuk (Department of Mathematics Education Seowon University) ;
  • Lee, Deok Ho (Department of Mathematics Education KongJu National University) ;
  • Yoon, Ju Han (Department of Mathematics Education Chungbuk National University) ;
  • Lim, Jong Tae (Department of Mathematics Chungnam National University)
  • Received : 2013.09.16
  • Accepted : 2013.10.11
  • Published : 2013.11.15

Abstract

In this paper, we de ne an extension $f^*:[a,b]{\rightarrow}\mathbb{R}$ of function $f^*:[a,b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale ${\mathbb{T}}$ and prove the convergence theorems for the Henstock delta integral on time scales.

Keywords

References

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