On an example of a function with a derivative which does not have a third order symmetric Riemann derivative anywhere

DOI10.14321/realanalexch.37.1.0203zbMath1259.26004OpenAlexW1540581556MaRDI QIDQ418221

John C. Georgiou

Publication date: 28 May 2012

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1335806772

zbMATH Keywords

divided differencesnon-differentiabilityRiemann symmetric derivatives

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Topology of special sets defined by functions (54C50)

Cites Work

• On the Generalized Derivatives
• The Generalized Fourth Derivative
• Contribution à la théorie de la dérivation d'ordre supérieure

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