Monotone transformations and differential properties of functions

DOI10.1007/BF01099567zbMath0418.26004OpenAlexW1981987488MaRDI QIDQ755707

L. I. Kaplan, S. G. Slobodnik

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01099567

zbMATH Keywords

differentiability of real functionsdifferentiable functions with pathological propertiesmontonic functions

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Singular functions, Cantor functions, functions with other special properties (26A30) Continuity and differentiation questions (26B05) Monotonic functions, generalizations (26A48)

Cites Work

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• A function not constant on a connected set of critical points
• Shorter Notes: Everywhere Differentiable Functions and the Density Topology
• Everywhere Differentiable, Nowhere Monotone, Functions

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