  An integral inequality due to Ball involves the $L_{q}$ norm of the $\sinc_p$
function; the dependence of this norm on $q$ as $q\rightarrow\infty$ is now
understood. By use of recent inequalities involving $p-$trigonometric functions
$(1<p<\infty )$ we obtain asymptotic information about the analogue of Ball's
integral when $\sin$ is replaced by $\sin_{p}.$
