In the article, we present the necessary and sufficient condition for the parameter p on the interval
$(7/5, \infty)$
such that the function
$x\rightarrow\operatorname{erf}(x)/B_{p}(x)$
is strictly increasing (decreasing) on
$(0, \infty)$
, and find the best possible parameters p, q on the interval
$(7/5, \infty)$
such that the double inequality
$B_{p}(x)
