Derivatives of continuous functions
Izvestiya. Mathematics , Tome 2 (1968) no. 5, pp. 943-978.

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The possible relations between derivatives with respect to congruent sets almost everywhere on an interval are investigated. It is proved that these relations depend on the structure of the congruent sets. The connection with asymptotic differentiability is considered.
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G. Kh. Sindalovskii. Derivatives of continuous functions. Izvestiya. Mathematics , Tome 2 (1968) no. 5, pp. 943-978. http://geodesic.mathdoc.fr/item/IM2_1968_2_5_a0/

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