Maximal volumes of \(n\)-dimensional balls in the \(p\)-norm

DOI10.1007/s00013-019-01394-7zbMath1453.51008OpenAlexW2979972788WikidataQ127066020 ScholiaQ127066020MaRDI QIDQ2297522

Dominik Šulc, Antonín Slavík

Publication date: 20 February 2020

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-019-01394-7

zbMATH Keywords

gamma functionunimodality\(p\)-normlogarithmic concavityball volume

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25)

Cites Work

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• Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\)
• Inequalities for the volume of the unit ball in \(\mathbb R^n\)
• Volumes of Generalized Unit Balls
• How Small Is a Unit Ball?
• Viète’s Formula, Knar’s Formula, and the Geometry of the Gamma Function

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