New characterizations of the Takagi function via functional equations

DOI10.1007/S00010-017-0501-ZzbMath1386.39038OpenAlexW2755552482WikidataQ59608478 ScholiaQ59608478MaRDI QIDQ1689408

Łukasz Sadowski

Publication date: 12 January 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-017-0501-z

zbMATH Keywords

Takagi functionnondifferentiabilitycharacterization by functional equations

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Functional inequalities, including subadditivity, convexity, etc. (39B62) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Systems of functional equations and inequalities (39B72)

Related Items (1)

Takagi function revisited

Cites Work

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• A remarkable system of eight functional equations
• Functional equations for peculiar functions
• Subadditive periodic functions
• Functional Equations and Inequalities with Applications

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