| An Improvement of the Veljan-Korchmàros Inequality |
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| 引用本文： | 冷岗松.An Improvement of the Veljan-Korchmàros Inequality[J].数学季刊,1997(2). |
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| 作者姓名： | 冷岗松 |
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| 作者单位： | Department of Applied Mathematics，Hunan University，Changsha，410082 |
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| 摘 要： | LetS.=(A.,A1,..',A,)beann-dimensionalsimplexwithvolumeVinEn,do=IA,A,Ithedistancebetweenitsvertics.ThenandequalityoccursiffS"isaregu1arsimplex-Thisisthewe1l-knownVeljan-Korcl1mdrosinequality.First,itwasoneconjecturebyD.Veljan,andthenwasprovedbyKorchmdros(lj).L.YangandJ.Zh.Zhanggeneralizedinequality(l).Theyprovedamajorizationofthevolumeeofasimplexintermsofitsfacets(2]).Y'Zhanggaveansharpeningoftheinequality(l).(3J).Inthispaper,weproveanewsharpeningoftheVeljan-Korchmdrosinequality,a…
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