Skip to main content
SpringerLink
Log in

Inequalities for a simplex and the number e

  • Published:
Journal of Geometry Aims and scope Submit manuscript

Abstract

An n-dimensional form of Winternitz's Theorem for convex sets in En can be related to a standard inequality for e. The object of this note is to prove two inequalities for n-dimensional simplexes that can be related to the basic inequalities (1+1/n)n < e < (1+1/n)n+1.

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

Similar content being viewed by others

References

  1. I.M. Yaglom and V. G. Boltyanskii, Convex Figures, Holt, Rinehart and Winston, New York, 1961, p. 36.

    Google Scholar 

  2. B. Grünbaum, Partitions of mass-distributions and of convex bodies by hyperplanes, Pacific J. Math., 10(1960) 1257–61.

    Google Scholar 

  3. D. Singmaster, Properties of forbidden regions, unpublished manscript, pp. 14–16.

  4. F. Abeles, Points of division and affine geometry, Amer. Math. Monthly, 76(1969), 798–9.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kean College of New Jersey, 07083, Union, N.J.

    Francine Abeles

  2. Courant Institute of Mathematical Sciences, NYU, USA

    Francine Abeles

Authors
  1. Francine Abeles
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author wishes to thank Leon Gerber, St. John's University for his beneficial suggestions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abeles, F. Inequalities for a simplex and the number e. J Geom 15, 149–152 (1980). https://doi.org/10.1007/BF01922490

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01922490

Keywords

Search

Navigation