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Improper Riemann Integral and Henstock Integral in ?n |
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| Authors: | P Muldowney V A Skvortsov |
| Institution: | (1) Magee College, University of Ulster, Great Britain;(2) M. V. Lomonosov Moscow StateUniversity, Moscow, Russia |
| 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.__________Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 251–258.Original Russian Text Copyright © 2005 by P. Muldowney, V. A. Skvortsov. |
| Keywords: | improper Rieman integral Henstock integral absolute integrability Hake’ s theorem tagged partition Riemann sum |
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