Inequalities for the Gamma Function and estimates for the volume of sections of $B_p^n$

Jesus Bastero, Fernando Galve, Ana Pena +1

We consider $k$-dimensional central sections of the unit ball of ${\ell }_p^n$ (denoted $B_p^n$) and we prove that their volume are bounded by the volume of $B_p^n$ whenever $1<p<2$ a…