Polynomial approximation
= Polynomial approximation
{title2=$E_n(f)=\inf_{\deg p\leq n}\lVert f-p\rVert_\infty$}
Polynomial approximation represents a function by <polynomials> of bounded <polynomial degree>. On a compact real interval, the <Weierstrass approximation theorem> guarantees <uniform approximation> of every <continuous function> by such polynomials. The displayed best error quantifies the accuracy available at degree at most $n$.