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Improper Riemann Integral and Henstock Integral in ℝn

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Abstract

The Henstock integral in ℝn and its relation to the n-dimensional improper Riemann integral are studied. A Hake-type theorem for the Henstock integral in ℝn is proved.

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Authors and Affiliations

  1. Magee College, University of Ulster, Great Britain

    P. Muldowney

  2. M. V. Lomonosov Moscow StateUniversity, Moscow, Russia

    V. A. Skvortsov

Authors
  1. P. Muldowney
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  2. V. A. Skvortsov
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Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 251–258.

Original Russian Text Copyright © 2005 by P. Muldowney, V. A. Skvortsov.

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Muldowney, P., Skvortsov, V.A. Improper Riemann Integral and Henstock Integral in ℝn . Math Notes 78, 228–233 (2005). https://doi.org/10.1007/s11006-005-0119-7

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  • DOI: https://doi.org/10.1007/s11006-005-0119-7

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