Inequalities for the Volume of the Unit Ball in Rn

✍ Scribed by Horst Alzer

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 81 KB
• Volume: 252
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7065

✦ Synopsis

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. A. Klain and G.-C. Rota.