Topological generalization of Cauchy's mean value theorem

DOI10.5186/aasfm.2016.4120zbMath1336.26005OpenAlexW4251795484MaRDI QIDQ2790825

Ivan Kupka

Publication date: 8 March 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2016.4120

zbMATH Keywords

generalized derivativesdiscrete functionCauchy's mean value theoremfeebly monotone functionRolle's mean value theorem

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Real-valued functions in general topology (54C30) One-variable calculus (26A06)

Cites Work

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• Uniform boundedness of pretangent spaces, local constancy of metric derivatives and strong right upper porosity at a point
• Strong convergence and Dini theorems for non-uniform spaces
• Rectifiable sets in metric and Banach spaces
• An introductory note on relative derivative and proportionality
• Lusin’s theorem for derivatives with respect to a continuous function
• L'Hospital's Rule

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