Extremal problems related to Gauss-John position

DOI10.1007/s10114-012-9735-9zbMath1264.52004OpenAlexW2032337537MaRDI QIDQ1941317

Ai-Jun Li, Gang Song Leng

Publication date: 12 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9735-9

zbMATH Keywords

\(p\)-normcontact pairGauss-John positionoptimization theorem of John

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

The characteristic properties of the minimal \(L_p\)-mean width

Cites Work

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• Brascamp-Lieb inequality for positive double John basis and its reverse
• From John to Gauss--John positions via dual mixed volumes
• Extremal problems and isotropic positions of convex bodies
• John's decomposition in the general case and applications
• AN EXTENDED LOOMIS–WHITNEY INEQUALITY FOR POSITIVE DOUBLE JOHN BASES
• Ellipsoids defined by Banach ideal norms
• John's theorem for an arbitrary pair of convex bodies
• John's decomposition of the identity in the non-convex case

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