The functional version of the Ball inequality

DOI10.1090/proc/13660zbMath1370.52008OpenAlexW2586849506MaRDI QIDQ5270155

Ai-Jun Li, Qingzhong Huang

Publication date: 22 June 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13660

zbMATH Keywords

uniquenessBlaschke-Santaló inequalityunconditional convex bodyBall inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Functional inequalities, including subadditivity, convexity, etc. (39B62) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological linear spaces; Choquet theory (46A55) Duality and reflexivity in normed linear and Banach spaces (46B10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

On a \(j\)-Santaló conjecture ⋮ Functional geominimal surface area and its related affine isoperimetric inequality

Cites Work

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• On convex perturbations with a bounded isotropic constant
• Some functional inverse Santaló inequalities
• Increasing functions and inverse Santaló inequality for unconditional functions
• A direct proof of the functional Santaló inequality
• Partitions and functional Santaló inequalities
• From the Mahler conjecture to Gauss linking integrals
• Convex set functions in d-space
• Critères de convexité et inégalités intégrales
• Curvilinear extensions of the Brunn-Minkowski-Lusternik inequality
• Blaschke-Santaló inequalities
• Moment-entropy inequalities.
• Some functional forms of Blaschke-Santaló inequality
• On an extension of the Blaschke-Santaló inequality and the hyperplane conjecture
• Stability of the functional forms of the Blaschke-Santaló inequality
• Geometry of log-concave functions and measures
• On the Blaschke-Santaló inequality
• Logarithmically concave functions and sections of convex sets in $R^{n}$
• A note on Santaló inequality for the polarity transform and its reverse
• The Santaló point of a function, and a functional form of the Santaló inequality

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