The Lebesgue Differentiation Theorem via nonoverlapping interval covers

John W. Hagood

doi:10.14321/realanalexch.29.2.0953

The Lebesgue Differentiation Theorem via nonoverlapping interval covers

John W. Hagood

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English (US)
Pages (from-to)	953-956
Number of pages	4
Journal	Real Analysis Exchange
Volume	29
Issue number	2
DOIs	https://doi.org/10.14321/realanalexch.29.2.0953
State	Published - 2004

Keywords

Interval cover
Lebesgue differentiation theorem
Monotone function

ASJC Scopus subject areas

Analysis
Geometry and Topology

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10.14321/realanalexch.29.2.0953

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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.",

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KW - Monotone function

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The Lebesgue Differentiation Theorem via nonoverlapping interval covers

Abstract

Keywords

ASJC Scopus subject areas

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