A note on the volume of sections of \(B_{p}^{n}\)

DOI10.1016/j.jmaa.2006.03.051zbMath1110.52008OpenAlexW2086839334MaRDI QIDQ860975

Peng Gao

Publication date: 9 January 2007

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.2006.03.051

zbMATH Keywords

gamma functionhyperplane sectionsIsotropy constant

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items

Estimates for the extremal sections of complex \(\ell_p\)-balls ⋮ HÖLDER-TYPE INEQUALITIES FOR THE POLYGAMMA FUNCTIONS ⋮ Series associated to some expressions involving the volume of the unit ball and applications ⋮ Sections and projections of \(L_p\)-zonoids and their polars

Cites Work

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• On a conjecture of Clark and Ismail
• On convex perturbations with a bounded isotropic constant
• On the curvature of the trigamma function
• Sections of the unit ball of \(\ell ^ n_ p\)
• The isotropy constants of the Schatten classes are bounded
• A submultiplicative property of the psi function
• Inequalities for the Gamma function and estimates for the volume of sections of $B^n_p$
• Refined convexity and special cases of the Blaschke-Santalo inequality
• Logarithmically concave functions and sections of convex sets in $R^{n}$
• Hyperplane conjecture for quotient spaces of L p
• A monotoneity property of the gamma function
• Volume of intersections and sections of the unit ball of $\ell ^n_p$
• Sharp inequalities for the digamma and polygamma functions
• INEQUALITIES INVOLVING GAMMA AND PSI FUNCTIONS
• On some properties of the Gamma function
• On some inequalities for the gamma and psi functions