Best uniform approximation
= Best uniform approximation
Given a family $A$ of approximating <functions>, a best uniform approximation to $f$ is an element $p\in A$ satisfying
$$
\lVert f-p\rVert_\infty=\inf_{q\in A}\lVert f-q\rVert_\infty.
$$
= Best uniform approximation
Given a family $A$ of approximating <functions>, a best uniform approximation to $f$ is an element $p\in A$ satisfying
$$
\lVert f-p\rVert_\infty=\inf_{q\in A}\lVert f-q\rVert_\infty.
$$