대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제22권1호
  • /
  • Pages.15-18
  • /
  • 2007
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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THE STRONG PERRON INTEGRAL IN ℝn REVISITED

  • Skvortsov Valentin A. (Moscow State University Department of Mathematics) ;
  • Sworowski Piotr (Casimirus The Great University Department of Mathematics)
  • 발행 : 2007.01.31
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초록

It is shown that $\alpha-regular$ McShane and strong Perron integrals considered in [1] are equivalent to the usual McShane integral.

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참고문헌

  1. J. M. Park, B. M. Kim, and D. H. Lee, The strong Perron integral in the n-dimensional space $R^n$, Commun. Korean Math. Soc. 20 (2005), no. 2, 291-297 https://doi.org/10.4134/CKMS.2005.20.2.291
  2. S. Saks, Theory of the integral, Dover, New York, 1964
  3. V. A. Skvortsov and P. Sworowski, On McShane-type integrals with respect to some derivation bases, Mathematica Bohemica 131 (2006), no. 4, 365-378