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http://dx.doi.org/10.4134/JKMS.2011.48.2.421

SOME NEW BONNESEN-STYLE INEQUALITIES  

Zhou, Jiazu (SCHOOL OF MATHEMATICS AND STATISTICS SOUTHWEST UNIVERSITY)
Xia, Yunwei (SCHOOL OF MATHEMATICS AND STATISTICS SOUTHWEST UNIVERSITY)
Zeng, Chunna (SCHOOL OF MATHEMATICS AND STATISTICS SOUTHWEST UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.2, 2011 , pp. 421-430 More about this Journal
Abstract
By evaluating the containment measure of one domain to contain another, we will derive some new Bonnesen-type inequalities (Theorem 2) via the method of integral geometry. We obtain Ren's sufficient condition for one domain to contain another domain (Theorem 4). We also obtain some new geometric inequalities. Finally we give a simplified proof of the Bottema's result.
Keywords
the isoperimetric inequality; kinematic formula; containment measure; convex domain; the Bonnesen-style inequality;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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