DOI QR코드

DOI QR Code

ON HENSTROCK INTEGRALS OF INTERVAL-VALUED FUNCTIONS ON TIME SCALES

  • Oh, Won Tae (Department of Mathematics Chungbuk National University) ;
  • Yoon, Ju Han (Department of Mathematics Education Chungbuk National University)
  • Received : 2014.10.17
  • Accepted : 2014.11.10
  • Published : 2014.11.15

Abstract

In this paper we introduce the interval-valued Henstock integral on time scales and investigate some properties of these integrals.

Keywords

References

  1. L. Chengzhong, Extension of the integral of interval-valued function and inte- gral of fuzzy-valued functions, Fuzzy Math. 3 (1983), 45-52.
  2. R. Henstock, Theory of integration, Butterworths, London, 1963.
  3. S. Nada, On integration of fuzzy mapping, Fuzzy Sets and Systems 32 (2000), 377-392.
  4. J. M. Park, Y. K. Kim, D. H. Lee, J. H. Yoon, and J. T. Lim, Convergence Theo- rems for the Henstock delta integral on time scales, Journal of the ChungCheoug Math. Soc. 26 (2013), 880-884.
  5. A. Peterson and B.Thompson, Henstock-Kurzweil Delta and Nabla Integral, J. Math. Anal. Appl. 323 (2006), 162-178. https://doi.org/10.1016/j.jmaa.2005.10.025
  6. C. Wu and Z. Gong, On Henstock integrals of interval-valued functions and fuzzy-valued functions, Fuzzy Set and System 115 (2000), 377-392. https://doi.org/10.1016/S0165-0114(98)00277-2