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The strong Perron integral in the $n$-dimensional space $\Bbb R^n$

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Abstract

In this paper, we introduce the SP-integral and the SP-integral de¯ned on an interval in the n- dimensional Euclidean space Rn. We also investigate the relationship between these two integrals.

참고문헌 (10)

  1. "On continuous major and mi-nor functions for the n-dimensional Perron integral", 22(1), pp.318~327 (1997)
  2. "On the n-dimensional Perron integral de?ned by ordinary derivatives", 26(1), pp.371~380 (2001)
  3. "The Integrals of Lebesgue" (1994)
  4. "nitions of regular generalized Perronintegral", pp.378~ (1992)
  5. "Di?erentiability and integrability in n dimensions with respect to ?-regular intervals", pp.138~151 (1992)
  6. "On n-dimensional Perron integral", 20(2), pp.111~116 (1997)
  7. "Henstock Integration in the Plane", 353 (1986)
  8. "The Denjoy extension of the Riemann and McShane integrals", 50(125), pp.615~625 (2000)
  9. "Theory of the Integral" (1964)
  10. "Continuity of ?-variation and construction of continuous majorand minor functions for the Perron integral", 21(1), pp.270~277 (1996)

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