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Two Inequalities for Planar Convex Sets

Published online by Cambridge University Press:  20 November 2018

George Tsintsifas
George Tsintsifas*
Affiliation:
23 Platonos STR. 54631 Thessaloniki, Greece
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Abstract

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B. Grünbaum, J. N. Lillington and lately R. J. Gardner, S. Kwapien and D. P. Laurie have considered inequalities defined by three concurrent straight lines in the interior of a planar compact convex set. In this note we prove two elegant conjectures by R. J. Gardner, S. Kwapien and D. P. Laurie.

Keywords

52A1052A40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 1 , 01 March 1985 , pp. 60 - 66
Copyright
Copyright © Canadian Mathematical Society 1985

References

1. Gardner, R.J., Kwapien, S. and Laurie, D.P., Some inequalities related to planar convex sets. Canad. Math. Bull. 25(3), (1982), pp. 302–310.Google Scholar
2. Grünbaum, B., Measures of symmetry for convex sets, Proceedings of Symposia in Pure Math. Vol. VII, Convexity. Amer. Math. Soc. p. 270.Google Scholar
3. Lillington, J.N., Problems related to a conjecture by Griinbaum, Mathematika 21 (1974), pp. 45—54.Google Scholar