Functional equations and nowhere differentiable functions

zbMath0788.26007MaRDI QIDQ1312251

Roland Girgensohn

Publication date: 24 May 1994

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

Full work available at URL: https://eudml.org/doc/137557

zbMATH Keywords

Schauder basesystem of functional equationsnowhere differentiable functionsvan der Waerden functionWeierstraß functionone-sided derivative

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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AFFINE FRACTAL LEAST SQUARES REGRESSION MODEL ⋮ Functional equations for peculiar functions ⋮ Piecewise Expanding Maps and Conjugacy Equations ⋮ On conjugacies between asymmetric Bernoulli shifts ⋮ Hausdorff dimensions for graph-directed measures driven by infinite rooted trees ⋮ Constructive solutions for systems of iterative functional equations ⋮ On a generalized nonlinear functional equation ⋮ Unnamed Item ⋮ Explicitly defined fractal interpolation functions with variable parameters ⋮ Compatibility conditions for systems of iterative functional equations with non-trivial contact sets ⋮ Fractal and Hausdorff dimensions for systems of iterative functional equations ⋮ De Rham's singular function, two-scale difference equations and Appell polynomials ⋮ Nowhere differentiable solutions of a system of functional equations

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