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Some Inequalities Related to Planar Convex Sets

Published online by Cambridge University Press:  20 November 2018

R. J. Gardner ,
S. Kwapien  and
D. P. Laurie
R. J. Gardner
Affiliation:
Department of Mathematics, Univ. of Petroleum and Minerals Dhahran, Saudi Arabia
S. Kwapien
Affiliation:
Department of Mathematics, Warsaw University, P.K.iN., Poland (Visiting Auburn University)
D. P. Laurie
Affiliation:
National Research Institute for Mathematical Sciences of the CSIR P.O. Box 395, Pretoria, South Africa
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Abstract

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B. Grünbaum and J. N. Lillington have considered inequalities defined by three lines meeting in a compact convex subset of the plane. We prove a conjecture of Lillington and propose some conjectures of our own.

Keywords

50B1552A10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 3 , 01 September 1982 , pp. 302 - 310
Copyright
Copyright © Canadian Mathematical Society 1982

References

1. Grünbaum, B., 'Measures of symmetry for convex sets', Proc. Symposia in Pure Math., vol. 7 (1963), 233-270.Google Scholar
2. Lillington, J. N., 'Problems related to a conjecture by Grünbaum', Mathematika 21 (1974), 45-54.Google Scholar
3. Mitrinović, D. S., Elementary Inequalities, P. Noordhoff Ltd., Groningen, 1964.Google Scholar