Continued Fractions and Differentiability of Functions

DOI10.2307/2323310zbMath0654.26006OpenAlexW2323501428MaRDI QIDQ3800314

Alec Norton

Publication date: 1988

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2323310

zbMATH Keywords

residual setLiouville numbersruler functiondense sets of differentiabilitydense sets of discontinuity

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Continued fractions and generalizations (11J70) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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