Skip to main content

Functional equations connected with peculiar curves

  • Conference paper
  • First Online:
Iteration Theory and its Functional Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1163))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cellérier, C.: Note sur les principes fondamentaux de l'analyse. Bull. des Sc. Math. (2) vol. XIV première partie 142–160 (1890).

    MATH  Google Scholar 

  2. Dubuc, S.: Une foire de courbes sans tangentes. Actualités mathématiques. Actes VI ème Congrès Mathématiciens d'Expression Latine. Gauthier-Villars. Paris 99–123 (1982).

    Google Scholar 

  3. Dubuc, S.: Une équation fonctionelle pour diverses constructions géométriques. Ann.sc.math.Québec vol.9 no.2 (1985), to appear.

    Google Scholar 

  4. Gardner, M.: Mathematical games. Scientific American 216 (1967), mars 124–125 et avril 118–120.

    Article  Google Scholar 

  5. Hildebrandt, T.H.: A simple continuous function with a finite derivative at no point. Amer.Math.Monthly 40, 547–548 (1933).

    Article  MathSciNet  MATH  Google Scholar 

  6. Knopp, K.: Ein einfaches Verfahren zur Bildung stetiger nirgends differenzierbarer Funktionen. Math. Zeitschrift 2, 1–26 (1918).

    Article  MathSciNet  MATH  Google Scholar 

  7. Kuczma, M.: Functional equations in a single variable. Polish Scientific Publishers, Warsaw, 1968.

    MATH  Google Scholar 

  8. Mandelbrot, B.B.: The fractal geometry of nature. W.H.Freeman, San Francisco, 1982.

    MATH  Google Scholar 

  9. Sierpiński, W.: Sur deux problèmes de la théorie des fonctions non dérivables. Bull.Intern.Acad.Sci.Cracovie A, 162–182 (1914).

    Google Scholar 

  10. van der Waerden, B.L.: Ein einfaches Beispiel einer nichtdifferenzierbaren stetigen Funktion. Math.Zeitschrift 32, 474–475 (1930).

    Article  MATH  Google Scholar 

  11. von Koch, H.: Sur une courbe continue sans tangente obtenue par une construction géométrique élémentaire. Arkiv för Matematik, Astronomie och Fysik 1, 681–704 (1904).

    Google Scholar 

  12. Weierstrass, F.: Uber continuirliche Functionen eines reellen Arguments die für keinen Werth des letzteren einen bestimmten Differentialquotienten besitzen. Mathematische Werke II, 71–74 (1872).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Roman Liedl Ludwig Reich György Targonski

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Dubuc, S. (1985). Functional equations connected with peculiar curves. In: Liedl, R., Reich, L., Targonski, G. (eds) Iteration Theory and its Functional Equations. Lecture Notes in Mathematics, vol 1163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076415

Download citation

  • DOI: https://doi.org/10.1007/BFb0076415

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16067-0

  • Online ISBN: 978-3-540-39749-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics