Linearity of the volume. Looking for a characterization of sausages

DOI10.1016/j.jmaa.2014.07.060zbMath1300.52008OpenAlexW2040985055MaRDI QIDQ743182

Eugenia Saorín Gómez, Jesús Yepes Nicolás

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.060

zbMATH Keywords

Brunn-Minkowski inequalityinner parallel bodylinearity of determinantlinearity of volumeroots of Steiner polynomialsausages

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (4)

Short note on some geometric inequalities derived from matrix inequalities ⋮ On linearized versions of matrix inequalities ⋮ On characterizations of sausages via inequalities and roots of Steiner polynomials ⋮ Brunn-Minkowski and Prékopa-Leindler's inequalities under projection assumptions

Cites Work

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• Remarks on the equality case of the Bonnesen inequality
• Mixed discriminants of positive semidefinite matrices
• On the location of roots of Steiner polynomials
• On the volume of inner parallel bodies
• Inequalities between mixed volumes of convex sets
• La formule de Steiner pour les érosions
• The Brunn-Minkowski inequality
• STEINER POLYNOMIALS VIA ULTRA-LOGCONCAVE SEQUENCES
• Convex Bodies The Brunn-MinkowskiTheory
• Higher Dimensional Analogues of an Isoperimetric Inequality of BENSON
• Über den Brunn-Minkowskischen Satz

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