Inequalities for the Gamma function and estimates for the volume of sections of $B^n_p$

DOI10.1090/S0002-9939-01-06139-1zbMath0988.52009arXivmath/0008007OpenAlexW1847807595MaRDI QIDQ2750904

Jesús Bastero, Fernando Galve, Miguel Romance, Ana Peña

Publication date: 21 October 2001

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

Full work available at URL: https://arxiv.org/abs/math/0008007

zbMATH Keywords

inequalitiesGamma functionsections of convex bodies

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Geometry and structure of normed linear spaces (46B20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (7)

A note on the volume of sections of \(B_{p}^{n}\) ⋮ Estimates for the extremal sections of complex \(\ell_p\)-balls ⋮ Estimates for the extremal sections of \(\ell ^n_p\)-balls ⋮ Sections and projections of \(L_p\)-zonoids and their polars ⋮ Accurate Estimates of the Gamma Function Involving the PSI Function ⋮ VOLUME ESTIMATES FOR L _p ‐ZONOTOPES AND BEST BEST CONSTANTS IN BRASCAMP–LIEB INEQUALITIES ⋮ Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness

Cites Work

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• Sections of the unit ball of \(\ell ^ n_ p\)
• A geometric inequality with applications to linear forms
• An application of the Fourier transform to sections of star bodies
• Inequalities for the gamma function with applications to permanents
• Slicing Convex Bodies-Bounds for Slice Area in Terms of the Body's Covariance
• Shadows of Convex Bodies
• Volume of intersections and sections of the unit ball of $\ell ^n_p$
• A Stochastic Approach to the Gamma Function

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