An integral inequality concerning isotropic measures on the unit circle

DOI10.1016/j.jmaa.2004.01.019zbMath1058.52002OpenAlexW2037017691MaRDI QIDQ1827111

Miguel Romance, Jesús Bastero

Publication date: 6 August 2004

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.2004.01.019

zbMATH Keywords

hypergeometric functionsextremal problemsconvex bodiesstar-shaped bodies

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume, other geometric measure theory (28A75) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (2) dimensions (including convex curves) (52A10) Classical hypergeometric functions, ({}_2F_1) (33C05) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

• Positions of convex bodies associated to extremal problems and isotropic measures
• Dual mixed volumes
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