Some inequalities related to \((i,j)\)-type \(L_p\)-mixed affine surface area and \(L_p\)-mixed curvature image

DOI10.1186/1029-242X-2013-470zbMath1293.52006OpenAlexW2096398925WikidataQ59294952 ScholiaQ59294952MaRDI QIDQ2250407

Tong Yi Ma

Publication date: 7 July 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-470

zbMATH Keywords

convex body\((i, 0)\)-type \(L_p \)-mixed affine surface area\((i, j)\)-type\(L_p \)-mixed curvature image

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

The \(i\)th \(p\)-affine surface area

Cites Work

• Inequalities for \(L_p\)-mixed curvature images
• The \(L_p\)-curvature images of convex bodies and \(L_p\)-projection bodies
• Some inequalities for the \(L_p\)-curvature image
• Mixed affine surface area
• Bemerkungen zur Definition einer erweiterten Affinoberfläche von E. Lutwak. (Remarks on the definition of extended affine surface area given by E. Lutwak)
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• Dual mixed volumes
• The Petty projection inequality for \(L_p\)-mixed projection bodies
• Mean cross-section measures of harmonic means of convex bodies
• FOURIER TRANSFORM AND L_p-MIXED PROJECTION BODIES
• $L_p$ John Ellipsoids
• Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem

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