Skip to main content

Advertisement

Log in

Evaluation of Hausdorff distances in interval mathematics

Berechnung von Hausdorff-Abständen in der Intervallmathematik

  • Published:
Computing Aims and scope Submit manuscript

Abstract

In the present paper for a class of metrices in ℝn including the Hölder metrices explicit expressions will be developed for evaluating the values of the corresponding Hausdorff metrices.

Zusammenfassung

In der vorliegenden Arbeit werden für eine Klasse von Metriken in ℝn, darunter die Hölder-Metriken, explizite Ausdrücke zur Berechnung der Werte der zugehörigen Hausdorff-Metriken entwickelt.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Alefeld, G. and J. Herzberger: Introduction to Interval Computations. Academic Press 1983

  2. Bauch, H., Jahn, K.-U., Oelschlägel, D., Süsse, H. und V. Wiebigke: Intervallmathematik — Theorie und Anwendungen. Teubner-Verlag Leipzig 1987

    Google Scholar 

  3. Hausdorff, F.: Grundzüge der Mengenlehre. Leipzig 1914

  4. Jahn, K.-U.: Intervallmathematik über halbgeordneten Banach-Räumen. Freiburger Intervall-Berichte 82/2, 1–87 (1982)

    Google Scholar 

  5. Sendov, Bl.: Hausdorff Approaches. Sofia 1979 (in Russian)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jahn, K.U. Evaluation of Hausdorff distances in interval mathematics. Computing 45, 69–77 (1990). https://doi.org/10.1007/BF02250585

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02250585

AMS Subject Classifications

Key words

Navigation