Functional equations for peculiar functions

DOI10.1007/BF02215973zbMath0876.39004MaRDI QIDQ1356806

Hans-Heinrich Kairies

Publication date: 20 July 1997

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

Full work available at URL: https://eudml.org/doc/137685

zbMATH Keywords

SurveyCharacterizations by functional equations in a single variableContinuous nowhere differentiable functionsPeculiar functionsReplicative functionsstrictly monotonic functions with almost everywhere 0 derivatives

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Functional equations for real functions (39B22) Functional inequalities, including subadditivity, convexity, etc. (39B62) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (16)

Characterization of random variables with stationary digits ⋮ Regularity conditions for approximately convex functions on abelian topological groups ⋮ Singular functions with applications to fractal dimensions and generalized Takagi functions ⋮ New characterizations of the Takagi function via functional equations ⋮ Singular distribution functions for random variables with stationary digits ⋮ A Salem generalised function ⋮ De Rham's singular function and related functions ⋮ A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic ⋮ On a generalized nonlinear functional equation ⋮ A robust algorithm for optimisation and customisation of fractal dimensions of time series modified by nonlinearly scaling their time derivatives: mathematical theory and practical applications ⋮ Mean value operators and the characterization of cotangens by functional equations ⋮ Unnamed Item ⋮ On regularity for de Rham's functional equations ⋮ A new approach with new solutions to the Matkowski and Wesołowski problem ⋮ Takagi functions and approximate midconvexity ⋮ De Rham's singular function, two-scale difference equations and Appell polynomials

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