Constructing nowhere differentiable functions from convex functions.

DOI10.14321/realanalexch.28.2.0617zbMath1063.26003OpenAlexW1599639459MaRDI QIDQ595912

Frank S. Cater

Publication date: 6 August 2004

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.28.2.0617

zbMATH Keywords

convex functionnowhere differentiable function

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Convexity of real functions in one variable, generalizations (26A51) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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A class of nowhere differentiable functions satisfying some concavity-type estimate ⋮ On global extrema of power Takagi functions

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