New matrix inequalities for Firey's extension of Minkowski and Brunn-Minkowski inequalities

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dc.contributor.authorPranayanuntana, Poramate
dc.contributor.authorGordon, John
dc.date.accessioned2026-08-06T09:54:16Z
dc.date.available2026-08-06T09:54:16Z
dc.date.issued2006-07-01
dc.description.abstractThe Brunn-Minkowski theory is a central part of convex geometry. At its foundation lies the Minkowski addition of convex bodies which led to the definition of mixed volume of convex bodies and to various notions and inequalities in convex geometry. Various matrix analogs of these notions and inequalities have been well known for over a century. We present a few new analogs. The major theorems presented here are the matrix analogs of Firey's Extension of Minkowski inequality and Firey's Extension of Brunn-Minkowski inequality.
dc.identifier.citationWseas Transactions on Mathematics, 5(7), 823-832, 2006
dc.identifier.issn11092769
dc.identifier.other2-s2.0-33745482001
dc.identifier.urihttps://dspace.kmitl.ac.th/handle/123456789/1324
dc.sourceWseas Transactions on Mathematics
dc.subjectAleksandrov inequality
dc.subjectAleksandrov-Frenchel inequality
dc.subjectElliptic Brunn-Minkowski theory
dc.subjectFirey's Extension of Brunn-Minkowski inequality
dc.subjectFirey's Extension of Minkowski inequality
dc.subjectMatrix analog of Firey's Extension of Brunn-Minkowski inequality
dc.subjectMatrix analog of Firey's Extension of Minkowski inequality
dc.subjectMatrix Firey p-sum
dc.subjectMixed p-Quermassintegral
dc.subjectMixed Quermassintegral
dc.subjectQuermassintegral
dc.titleNew matrix inequalities for Firey's extension of Minkowski and Brunn-Minkowski inequalities
dc.typeArticle

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