Orlicz mixed quermassintegrals

The notion of mixed quermassintegrals in the classical Brunn-Minkowski theory is extended to that of Orlicz mixed quermassintegrals in the Orlicz Brunn-Minkowski theory. The analogs of the classical Cauchy-Kubota formula, the Minkowski isoperimetric inequality and the Brunn-Minkowski inequality are...

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Bibliographic Details
Published inScience China. Mathematics Vol. 57; no. 12; pp. 2549 - 2562
Main Authors Xiong, Ge, Zou, Du
Format Journal Article
LanguageEnglish
Published Heidelberg Science China Press 01.12.2014
Subjects
Analogs
Applications of Mathematics
China
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
52A40
quermassintegral
integral geometry
Minkowski’s isoperimetric inequality
52A22
52A39
Orlicz Brunn-Minkowski theory
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Summary:The notion of mixed quermassintegrals in the classical Brunn-Minkowski theory is extended to that of Orlicz mixed quermassintegrals in the Orlicz Brunn-Minkowski theory. The analogs of the classical Cauchy-Kubota formula, the Minkowski isoperimetric inequality and the Brunn-Minkowski inequality are established for this new Orlicz mixed quermassintegrals.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-014-4812-4