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Symmetrically differentiable functions with a perfect set of nondifferentiability points

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Publication:1080543
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DOI10.1007/BF01137468zbMath0599.26015MaRDI QIDQ1080543

S. P. Ponomarev

Publication date: 1985

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


zbMATH Keywords

everywhere symmetrically differentiable function, whose symmetric derivative is not integrable in the Denjoy-Perron senseset of points of nondifferentiability


Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Denjoy and Perron integrals, other special integrals (26A39)


Related Items (1)

Functions with a \({\mathcal D}_*\)-integrable symmetric derivative




Cites Work

  • A note on symmetrically continuous functions
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