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The Lebesgue differentiation theorem via nonoverlapping interval covers. (English) Zbl 1078.26006

Author’s 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.”

MSC:

26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
26A48 Monotonic functions, generalizations
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