Some inequalities for the \(L_p\)-curvature image

DOI10.1155/2009/320786zbMath1187.52010OpenAlexW1965196165WikidataQ59219934 ScholiaQ59219934MaRDI QIDQ962419

B. E. Eshmatov

Publication date: 7 April 2010

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

Full work available at URL: https://eudml.org/doc/230756

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Related Items (5)

Some inequalities for the L p -mixed quermassintegrals ⋮ Some inequalities related to \((i,j)\)-type \(L_p\)-mixed affine surface area and \(L_p\)-mixed curvature image ⋮ Inequalities for the radial p-th mean bodies ⋮ Some inequalities for asymmetric L_p-mean zonoids ⋮ Some inequalities for the L_p-curvature images

Cites Work

• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• The \(L_p\)-curvature images of convex bodies and \(L_p\)-projection bodies
• On some affine isoperimetric inequalities
• Blaschke-Santaló inequalities
• \(L_ p\) affine isoperimetric inequalities.
• The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
• $L_p$ John Ellipsoids
• $p$-Means of Convex Bodies.
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