No-where averagely differentiable functions: Baire category and the Takagi function

DOI10.1007/s00605-013-0485-2zbMath1277.26007OpenAlexW2057887813MaRDI QIDQ372813

Mohammad Hasan, H. S. Yoon

Publication date: 21 October 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0485-2

zbMATH Keywords

Baire categoryTakagi functionaveragely nowhere differentiableCésaro averagenowhere differentiable

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Cites Work

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• The Takagi function: a survey
• Higher order local dimensions and Baire category
• THE AVERAGE DENSITY OF SELF-CONFORMAL MEASURES
• Analogues of the Lebesgue Density Theorem for Fractal Sets of Reals and Integers
• Differentiation of Real Functions

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