The Lebesgue Differentiation Theorem via nonoverlapping interval covers

Research output: Contribution to journalArticle

4 Scopus citations


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 languageEnglish (US)
Pages (from-to)953-956
Number of pages4
JournalReal Analysis Exchange
Issue number2
StatePublished - Jan 1 2004



  • Interval cover
  • Lebesgue differentiation theorem
  • Monotone function

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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