Geodesic
Derivatives of continuous functions
Izvestiya. Mathematics, Tome 2 (1968) no. 5, pp. 943-978 
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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Voir la notice de l'article provenant de la source Math-Net.Ru

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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[3] Sindalovskii G. X., “O nepreryvnosti i differentsiruemosti otnositelno kongruentnykh mnozhestv”, Dokl. AN SSSR, 134:6 (1960), 1305–1306 | MR | Zbl

[4] Sindalovskii G. X., “O kongruentnoi i asimptoticheskoi differentsiruemosti”, Dokl. AN SSSR, 150:5 (1963), 995–997 | MR | Zbl

[5] Sindalovskii G. X., “Differentsiruemost otnositelno kongruentnykh mnozhestv”, Izv. AN SSSR. Ser. matem., 29 (1965), 11–40 | MR

[6] Sindalovskii G. X., “Ob ekvivalentnosti obyknovennykh proizvodnykh chisel i proizvodnykh chisel otnositelno kongruentnykh mnozhestv nekotorogo klassa”, Izv. AN SSSR. Ser. matem., 29 (1965), 987–996 | MR | Zbl

[7] Tolstov G. P., “Zamechanie k teoreme D. F. Egorova”, Dokl. AN SSSR, 22:6 (1939), 309–311

[8] Sindalovskii G. X., “O ravnomernoi skhodimosti semeistva funktsii, zavisyaschikh ot nepreryvno menyayuschegosya parametra”, Vestn. Mosk. un-ta, seriya matem., mekhanika, 5 (1960), 14–18 | MR | Zbl

[9] Sindalovskii G. X., “O postroenii nepreryvnykh funktsii s zadannymi differentsialnymi svoistvami na mnozhestve polnoi mery i nekotorykh prilozheniyakh k ryadam Fure”, Matem. sb., 69(111) (1966), 640–657 | MR | Zbl

[10] Xinchin A. Ya., “Issledovaniya o stroenii izmerimykh funktsii”, Matem. sb., 31:2 (1923), 265–285 | Zbl

[11] Sindalovskii G. X., “O proizvodnykh chislakh nepreryvnykh funktsii”, Uspekhi matem. nauk, XXI:5(131) (1966), 274–277 | MR