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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2005 Volume 78, Issue 2, Pages 251–258 (Mi mzm2582)

This article is cited in 6 papers

Improper Riemann Integral and Henstock Integral in $\mathbb R^n$

P. Muldowneya, V. A. Skvortsovb

a University of Ulster
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The Henstock integral in $\mathbb R^n$ and its relation to the $n$-dimensional improper Riemann integral are studied. A Hake-type theorem for the Henstock integral in $\mathbb R^n$ is proved.

UDC: 517.382+517.518.126

Received: 12.05.2004

DOI: 10.4213/mzm2582


 English version:
Mathematical Notes, 2005, 78:2, 228–233

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© Steklov Math. Inst. of RAS, 2024