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POSITIVE CENTRE SETS OF CONVEX CURVES AND A BONNESEN TYPE INEQUALITY

Part of: General convexity

Published online by Cambridge University Press:  26 December 2018

YUNLONG YANG Open the ORCID record for YUNLONG YANG [Opens in a new window]
YUNLONG YANG*
Affiliation:
School of Science, Dalian Maritime University, Dalian, 116026, PR China email ylyang@dlmu.edu.cn
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Abstract

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We consider the positive centre sets of regular $n$-gons, rectangles and half discs, and conjecture a Bonnesen type inequality concerning positive centre sets which is stronger than the classical isoperimetric inequality.

Keywords

Bonnesen type inequalityinner parallel bodypositive centre setregular n-gon

MSC classification

Primary: 52A10: Convex sets in $2$ dimensions (including convex curves)
Secondary: 52A40: Inequalities and extremum problems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 99 , Issue 2 , April 2019 , pp. 293 - 301
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

This work is supported in part by the Doctoral Scientific Research Foundation of Liaoning Province (No. 20170520382) and the Fundamental Research Funds for the Central Universities (Nos. 3132018222, 3132017046).

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