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

Jesús Bastero, Fernando Galve, Ana Peña, Miguel Romance
2001 Proceedings of the American Mathematical Society  
/2 and k = n − 1 whenever 1 < p < 2. We also consider 0 < p < 1 and other related cases. We obtain sharp inequalities involving Gamma function in order to get these results.
doi:10.1090/s0002-9939-01-06139-1 fatcat:e3ldpccw2fckvbqaihrwto7xhm