\left( {\forall \varepsilon > 0} \right)\left( {\exists n_0 \in {\bf N}} \right)\left( {\forall n \ge n_0 } \right)\left( {\left| {\mathop {\max }\limits_{p \in \left[ {0,1} \right]} \left\{ {\left| {B_n \left( p \right) - g\left( p \right)} \right|} \right\} - 0} \right| < \varepsilon } \right) \Leftrightarrow