The generalized \(L_p\)-mixed affine surface area

DOI10.1007/s10114-015-3140-0zbMath1352.52011OpenAlexW2195011574MaRDI QIDQ889453

Tong Yi Ma

Publication date: 6 November 2015

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

Full work available at URL: https://doi.org/10.1007/s10114-015-3140-0

zbMATH Keywords

convex bodystar body\((i,j)\)-type \(L_p\)-mixed affine surface area\(i\)th \(L_p\)-mixed curvature function\(i\)th \(L_p\)-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 (1)

Some inequalities for the (p, q)-mixed affine surface areas

Cites Work

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• Inequalities for \(L_p\)-mixed curvature images
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Extended affine surface area
• The \(L_p\)-curvature images of convex bodies and \(L_p\)-projection bodies
• Zur Affinoberfläche konvexer Körper. (On affine surfaces of convex bodies)
• On some affine isoperimetric inequalities
• Mixed affine surface area
• Über einige Eigenschaften der Affinoberfläche beliebiger konvexer Körper. (On some properties of the affine surface area of arbitrary convex bodies)
• On the history of the affine surface area for convex bodies
• On the \(p\)-affine surface area
• \(L_ p\) affine isoperimetric inequalities.
• Inequalities for Hadwiger's harmonic quermassintegrals
• Bemerkungen zur Definition einer erweiterten Affinoberfläche von E. Lutwak. (Remarks on the definition of extended affine surface area given by E. Lutwak)
• Geominimal surface area
• Surface bodies and \(p\)-affine surface area
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• A characterization of affine surface area
• Dual mixed volumes
• The Petty projection inequality for \(L_p\)-mixed projection bodies
• \(L^{p}\) solutions of BSDEs with stochastic Lipschitz condition
• \(L_p\)-dual mixed quermassintegrals
• On the analog of Shephard problem for the L_p-projection body
• On the Affine Surface Area
• FOURIER TRANSFORM AND L_p-MIXED PROJECTION BODIES
• Mixed Projection Inequalities
• Centroid Bodies and Dual Mixed Volumes
• Illumination bodies and affine surface area

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