Skip to main content
SpringerLink
Log in

On a theorem of Denjoy and on approximate derivative

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. J. A. Clarkson, A property of derivatives, Bull. Amer. Math. Soc. 53 (1947) p. 124–125.

    Google Scholar 

  2. A. Denjoy, Sur une propriété des fonctions dérivées, Enseignement Math. 18 (1916) p. 320–328.

    Google Scholar 

  3. C. Goffman andC. J. Neugebauer, On approximate derivative, Proceed. Amer. Math. Soc. 11 (1960), p. 962–966.

    Google Scholar 

  4. Fu Chen Hsiang, On differentiable functions, Bull. Amer. Math. Soc. 66 (1960) p. 382–383.

    Google Scholar 

  5. A. Khintchine, Recherches sur la structure des fonctions mesurables, Fundam. Math. 9 (1927), p. 212–279.

    Google Scholar 

  6. C. Kuratowski, Topologie, Warszawa 1933.

  7. S. Marcus, Functiile lui Pompeiu, Studii si cercetari mat. 5 (1954), p. 413–419.

    Google Scholar 

  8. D. Pompeiu, Sur les fonctions dérivées, Math. Annalen 63 (1907), p. 326.

    Google Scholar 

  9. B. Pospisil, Zentralblatt für Mathematik 22 (1940), p. 322.

    Google Scholar 

  10. N. A. Selivanov, Proof of a theorem of A. Denjoy, concerning derivative functions (in Russian), Mitteilungen des Forschungsinstituts für Mathematik und Mechanik an der Kujbyschew-Universität Tomsk 2 (1938), p. 29–31.

    Google Scholar 

  11. G. Tolstov, Sur la dérivée approximative exacte, Rec. Math. Moscou (Mat. Sbornik) N. S. 4 (1938), p. 499–504.

    Google Scholar 

  12. G. Tolstov, Sur quelques propriétés des fonctions approximativement continues, Rec. Math. Moscou (Mat. Sbornik) N. S. 5 (1939), p. 637–645.

    Google Scholar 

  13. Z. Zahorski, Sur la première dérivée, Trans. Amer. Math. Soc. 69 (1950). p. 1–54.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institutul de Matematicâ, str. M. Eminescu 47, Bucharest

    Solomon Marcus

Authors
  1. Solomon Marcus
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marcus, S. On a theorem of Denjoy and on approximate derivative. Monatshefte für Mathematik 66, 435–440 (1962). https://doi.org/10.1007/BF01298240

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01298240

Keywords

Search

Navigation