Functional equations for peculiar functions
Copyright policy )Functional equations for peculiar functions
This is a thorough and interesting survey of functional equations which characterize certain everywhere continuous nowhere differentiable functions, strictly monotonic functions with almost everywhere 0 derivatives, replicative functions (cf. \textit{D. E. Knuth} [The art of computer programming, Vol. I. (1968; Zbl 0191.17903)], etc. It concludes with some open problems and with 122 references.
- Clausthal University of Technology Germany
- DigiZeitschriften Germany
Continuous nowhere differentiable functions, Article, Peculiar functions, 510.mathematics, Functional equations for real functions, strictly monotonic functions with almost everywhere 0 derivatives, Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives, Characterizations by functional equations in a single variable, Functional inequalities, including subadditivity, convexity, etc., Singular functions, Cantor functions, functions with other special properties, Survey, Replicative functions
Continuous nowhere differentiable functions, Article, Peculiar functions, 510.mathematics, Functional equations for real functions, strictly monotonic functions with almost everywhere 0 derivatives, Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives, Characterizations by functional equations in a single variable, Functional inequalities, including subadditivity, convexity, etc., Singular functions, Cantor functions, functions with other special properties, Survey, Replicative functions
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