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2003-2004 The Lebesgue differentiation theorem via nonoverlapping interval covers.
John W. Hagood
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Real Anal. Exchange 29(2): 953-956 (2003-2004).

Abstract

A short proof is given for the Lebesgue Differentiation Theorem using a variation of the Heine-Borel covering property, without reliance on sophisticated approaches such as Vitali covers and the rising sun lemma.

Citation

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John W. Hagood. "The Lebesgue differentiation theorem via nonoverlapping interval covers.." Real Anal. Exchange 29 (2) 953 - 956, 2003-2004.

Information

Published: 2003-2004
First available in Project Euclid: 7 June 2006

zbMATH: 1078.26006
MathSciNet: MR2083830

Subjects:
Primary: 26A24
Secondary: 26A48

Keywords: interval cover , Lebesgue differentiation theorem , monotone function

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 2 • 2003-2004
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