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Inequalities for the Volume of the Unit Ball in({mathbb{R}^{n}})

✍ Scribed by Chen, Chao-Ping; Lin, Long

Book ID
125338012
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
263 KB
Volume
11
Category
Article
ISSN
1660-5446

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Inequalities for the Volume of the Unit
Inequalities for the Volume of the Unit Ball in Rn
✍ Horst Alzer 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 81 KB

Let ⍀ s r⌫ 1 q nr2 be the volume of the unit ball in R . We determine n the best possible constants a, b, A, B, ␣, and ␤ such that the inequalities . n n y1 nq1 are valid for all integers n G 1. Our results refine and complement inequalities proved by G. D. Anderson et al., K. H. Borgwardt, and D.